PDF How to Find Slope - Mrs. Petway's Math Class Use pencil and paper. Before we start, let's remember how slope is defined: Let's draw a line through two general points. Yes you are correct that the slope is undefined if x_1 = x_2. Example 1: Finding the Slope from a Graph The table below shows the relationship between the number of seconds y it takes to hear the thunder after a lightning strike and the distance x you are from the lightning. Delta Math Tutorial: Finding the Slope Graphically - YouTube Deltamath: Finding the Slope Graphically - YouTube Direct link to Ian Pulizzotto's post Yes, you are correct. Answers must be in the form of positive slopes. Oops. Mainly when questions have been derived from Delta math, stress heightens. 8. It teaches them how to make logical arguments using data and statistics, which are essential for success in college and career. This page consists of printable exercises like introduction to slopes such as identifying the type and counting the rise and run; finding the slope using ratio method, slope-intercept formula and two-point formula; drawing lines through coordinates and much more! The y-intercept is the y-coordinate of the point where the graph intersects the y-axis. Students are given ordered pairs. Graph the line 4x - 2y = 10. Quickly access your most used files AND your custom generated worksheets! Delta Math: Finding the Slope from Points - YouTube Direct link to Tams Fletcher's post This is because the equat, Posted 6 years ago. Let's say we've looked at our graph, and have picked the points (3, 2) and (5, 6). Then find your answer in the answer column nearest the exercise and notice the word under it. Slope intercept form worksheet cc math i standards answer key. Select the Inspect option now and get a developer window on your screen. b) Compute P[Y(n) < 1.9]. Simply, all you have to remember is that the slope is equal to the tangent of the angle. HWKk1)m1^%{m! Referring to the image attached below, we have the following: The blue line represents the rise of the line = 2 units, The red line represents the run of the line = 8 units, The slope (m) of the line = rise/run = 2/8, Simplify by dividing the numerator and the denominator by 2. I hope this somewhat answers your question. As you answer more questions correctly, you will be able to unlock more difficulty levels for your Delta Math quiz answers, which will unlock more options for your Delta Math questions. However, it does help if you dont want any risk of guessing wrong digits, for example, if your teacher gave you a question with only two possible answers. It makes it more "simple." Afterward, go back into your browser and change the homepage to where it was before. They use them to calculate the slope, using the rise over run formula. You will have to solve the first question correctly to move on to the next question. Our service guarantees to be very confidential and professional in all our essay writing tasks. With stringent attention to detail, the tool carries the capabilities of creating some of the most complex equations that make it harder for a student to complete their course. Solve the following system of equations graphically on the set of axes below. Copyright 2023 - Math Worksheets 4 Kids. Start by logging in to your account, choose the problem that needs attention, and solve it using a virtual computer. That is correct., Posted 6 years ago. Employ our free worksheets to sample our work. 5.1: Solve Systems of Equations by Graphing - Mathematics LibreTexts Or, if you have an assignment left to be done, recall them. Our mission is to provide a free, world-class education to anyone, anywhere. Show the points you used on the graph! The slope-intercept form of the equation of a line is y = mx + b. Cypress College. Plot and label 2 points on the line, anywhere on the line. Good job! If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. But we recommend trying to confront them. Now we can write a general formula for slope: Let's use the slope formula to find the slope of the line that goes through the points. Direct link to Sanjana Gurram's post Slope is something that i, Posted 3 years ago. Hn1>emJPE nBU Ao"E;9p4 dG!~vL@q=q}md}=V5X Ha`,aVvbPYy#@F%7fH(JfI1^[_*KJ85dq!P|v\sN p{t2qu:yB8)k!uv2yt BWZ[QV(+~ Such allows you to practice your knowledge in this subject area daily without stress or pressure! +$&grUBj6!u@V]!e I}=s=cTqgb4TaI.m %"< Delta Math offers an easy-to-use interface, which makes it easy for anyone to learn how to use this app. You can also ask your teachers or friends who have passed this test to help you with your problems. The route to delta math answers is full of twists and turns sometimes. 2, slash, 3, space, start text, p, i, end text. Transcript. Algebra 1 > Linear equations & graphs > Slope 2023 Khan Academy Slope from graph CCSS.Math: 8.F.B.4, HSF.LE.A.2 Google Classroom You might need: Calculator What is the slope of the line? This set of fun activitiy worksheets contains houses with roofs of various sizes. On these printable worksheets, students are given ordered pairs or a graph and are instructed to find the slope. (Example 1) Question 1. For example, if the equation was 5x+10=y, you could create pairs of (x,y) coordinates by plugging in numbers for x and y. The table represents the relationship for Plane B. Delta Math covers over 80 topics, including linear equations and inequalities, exponent rules, slope-intercept form, absolute value equations, functions, decimal operations, and more. (this could take a moment) . 1.2: Graphing Linear Equations - Mathematics LibreTexts Learn More. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Based on this, you could say that (5,35) is a point on the line, 5x+10=y. It helps students see how math is used daily and makes them more comfortable. Using the slope formula, find the slope of the line through the points (0,0) and(3,6) . Please Log In to Super Teacher Worksheets. endobj With the first method, maximum heart rate,y, in beats per minute is y = 220 - x, where x is the person's age. 10 8 4. - Graphing linear equations/functions This worksheet has space for students to show their work. Function 1 Zeros. 2020 Sanitary Materials Company. Locate the answer and go stress-free for your academics. With a team of extremely dedicated and quality lecturers, edgems math course 1 answer key will not only be a place to share knowledge but also to help students get inspired to explore and discover many creative ideas from themselves. 3 0 obj You can specify conditions of storing and accessing cookies in your browser, Delta Math - Finding the Slope Graphically, for the following indefinite integral, find the full power series centered at x=0 and then give the first 5 nonzero terms of the power series. Finding slope from graph | Algebra (video) | Khan Academy ?IeI:CNqe2wyy,oxq:r9I&F2h3dqRYuP&jF_8LUdjQ' v:}B7.#WjacN#U5NN3EJ0**UEcv6N[gz(}dzaHU)%O$?+TOmr{vc(&#T9?"Tdyhc d^j!1n(a~LXx> hnG6z>o7~Lw/Sh 16 s'CnthG0 AnI{W4nch]p} 8n4:B >3Fha?Aal7#!-(d7@JNyI!g -[~?wWp"Cmk}MzAV[d/[^N>S*ry. Use the values on the tables to find the slopes. Let us write your assignments. Why is the slope formula y/x? Question 8. Such challenges compel students to scout for delta math answers to avoid poor grades by answering wrong or putting something irrelevant in math equations. How to get Delta Math Answers: Top Hacks to Cheat Delta Math Practice finding the slopes of the lines shown on the graphs. Remember the x's are listed first in an ordered pair and the y's are listed second. There may be four sections: algebra, geometry, statistics, and calculus. Unit: Linear equations, functions, & graphs, This topic covers: You may select the type of problems to produce and the solutions that the students must perform. Find Intersection. Be rest assured to get an essay written from scratch. Find the slope of the graph for each plane and the plane's rate of speed. So what can be done? Answer. 2 O2h0j1 n28 9K Tu 3tla B iS 3o Af0tjw hahrxeK MLZLHCP. pr8%6 >eS9BYS)U 8h%*D@I %nFDJCseQ6Hv!qs^ iHoe{)}i|NIa,4'QPd^j*aWz 9Zya. _Qul/\3ov|y,/JvoRcujl,ed~nM!'z$T]m8/ bsi&=(:hy[==M>ei%7`d7+ This site is using cookies under cookie policy . Use pencil and paper. But there is a way for you to cheat Delta Math. If you are not given 2 points, you can find 2 points on the graph and use them to find the slope. Delta Math is a helping hand to math teachers with the use they can mix and match problem sets to create a unique test for students with ease. eWw+.5C@U_ [email protected] F`^+G{ +G)AKaLOg9(LXbp,H^,^VgMbQ%.DoM yw9I&c5. !ee:qOC }/GgmJE1.xN ?X8Aa^hiNl\SD/4z,~m(95gaT$o!qA~xXCf W 29 0 obj <> endobj Therefore, our products should be used with proper referencing. The Pros and Cons of Online Learning: What You Need to Know, How to Overcome Writers Block and Get Your Assignment Done, The Benefits of Using Professional Assignment Help Services. These hacks will ensure your academics arent ruined by some intricate math assignment questions you are struggling to solve. Eureka Math Grade 8 Module 4 Lesson 15 Opening Exercise Answer Key. The platform comprises a suite of unique mathematical equations which can be custom-created for each student by their teacher. endstream endobj 33 0 obj <>stream Answer : 5 2 yx 7) Find the equation of a line that passes through the points (2, 16) and (-1, 7). Delta Math is a new way of looking at math that gives students an understanding of how math works in the real world. 2 problems give coordinate pairs. Simply provide them with an authorization code, and they will give the test for you. Direct link to Sean Chai's post Something to Think About:, Posted 7 years ago. 3956 kb/s. Simply put, you can download relevant questions online to create a practice assignment; you can then send it to a mathematic expert at All Assignment Support to get them resolved with proper answers and justification. But in case none is available to help you, self-support appears to be the last option. After typing in your teacher code, you will create an account with your own email and password. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Mainly when the professor has been giving you a precious lecture on a particular mathematic subject or equation, go through the details; maybe this will help you identify the upcoming delta math challenge. There are several types of VPNs some cost nothing, and others have monthly fees. That prevents ISPs from tracking your activities, which is why theyre used by many people worldwide who want to access sites like Netflix that arent available in their countries. Delta Math is a free math tool that allows you to create your custom functions. Two problems show a graph. View Answers. You need to subtract using the same ordering. Locate the answer and go stress-free for your academics. Find the most general antiderivative of the function. The last solution advisable to most students who desperately scout for the delta math answers is to keep practicing the delta math assignments. f 62G0 g1323 yK tu FtEaQ wStodf 4tzw Najr8e O GLdL ZCL. For complete access to thousands of printable lessons click the button or the link below. Direct link to Joy Young's post in the formula mx+b=y, I , Posted 6 years ago. Next, you need to know how many questions there are in each section of the test. Direct link to Eileen Chao's post For the last one, if x_1 , Posted 3 years ago. The x- and y-axes each scale by one. 3. shop Then enter the Teacher Code. The questions and answers are not only for the intermediate level but also for beginners. %PDF-1.5 A graph of a line intersects the points zero, negative three and one, negative one. [["AGRx]=3l9(l##d This can be done by going to your browsers settings and changing the homepage. If none of them worked out, you could approach AllAssignmentSupport.com, where students and working professionals are discovering a unique way to get their work done with precision by qualified experts. For the last one, if x_1 equals x_2 it is undefined, this is because, from the other videos, it was said that if the two points have the same x when drawing the line, it will be straight up and down, with no slope, but those are called undefined as there really is an undefined slope to it. They use the numbers on the tables to calculate the slopes of the lines. Delta Math Code and HW Answer Keys - Mrs. Kenny's Mathsite - Google Sites Moon Knight Luke Cage, The student should rush to scout for an answer as soon as the professor updates the assignment task. Substitute each pair of x- and y- coordinates in the given formula to find the slope of a line. ofthe each graph, and verify that it checks in bot equations. Lets jump straight to the ultimate resolution, the HACKS, because these are the only ways to survive. Find the slope of the roof of each house. (Type an integer or a simplified fraction.). <>>> Find the rate of change from 1 hour to 4 hours. As the assignment test approaches nearer, you will grow expertise in most math equations covered in your syllabus. Problem 2 : The equation y = 375x represents the relationship between x, the time that a plane flies in hours, and y, the distance the plane flies in miles for Plane A. negative slope, read the graph of the line just like you would read a sentence, from left to right. Also, if the test is conducted using special monitoring tools, you may be restricted from using the Inspect tool. Find the slope of the line pictured on the graph. The slope from one point on a line to another is the ratio . None other than at All Assignment Support, where students and people from across different countries are connecting online to smartly face their academic challenges. You have to log in to your account and start solving the problems there. 2 0 obj Delta Math: Finding the Slope of a Line Graphically - YouTube Answer Key Delta Math Geometry [XME6DY] "cut-eases Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two points on the line. Answer keys are included. To find the slope of a line, we can use the ratio of the rise of the line over its run. You can even drag and drop existing formulas from other applications onto the Delta Math window! The first part of worksheets require students to plot the points on the graph, draw the line and identify the type of slope. Trace Function 1. Challenges spike when even the internet has no answer. This means that instead of getting the question from your browser, you get it from somewhere else like Google or yahoo answers or some other website where they host the questions. A VPN will encrypt your data while traveling through the Internet so no one can see what youre doing or where youre located. Now available for the 2021-2022 school year. It has been found that most people rush for the delta math hack as they believe that they arent prepared for math right now. Direct link to Samuel Bernhardt's post In the very last part, wh, Posted 6 years ago. 55 0 obj <>stream Then enter the Teacher Code.. in the formula mx+b=y, I understand that "m" is the slope and "b" is the y-intercept, but what is x and y? This is not a typical or scientific calculator but rather an interactive calculator that allows you to design your functions. hbbd``b`Z$ $E@HcY $.3012H7 The slope of the line is enter your response here. Bear in mind the platform utilizes advanced software, so use the suggestion if you are a savvy techie. Parallel, Perpendicular and Intersecting Lines, Converting between Fractions and Decimals, Convert between Fractions, Decimals, and Percents. Students are presented with ordered pairs. To find the slope of a line, we can use the ratio of the rise of the line over its run. 8th Grade. %PDF-1.5 % It will comprise some difficulties, but these are the only things for your rescue then. stream The solution often doesnt work for students because it may disclose the answer but doesnt summarize the overall equations. Simplify both sides (if . `hen+dU"5)| uA#W@[G6zB#F9Dl=@` klMz|Ehb9oF]w u! f$EbLmQ\N7d8yQ,cMFE1H>hMe??.%Jy=KI,`5Xx ehF/% h;_/,WXMCM!aZbOjmrz,0}/,HC=+6G+*Ctc2& -$U [!B(!NEOpjW(l x= y=. Graphing Calculator - DeltaMath It's kind of annoying to have to draw a graph every time we want to find the slope of a line, isn't it? 1 0 obj <>/ExtGState<>/XObject<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 612 1008] /Contents 4 0 R/Group<>/Tabs/S/StructParents 0>> Find the Missing Coordinates You can add any function by clicking on the + button at the top of the screen. Func 2 Min/Max. Direct link to TheCodingLegend INACTIVE's post Slope is basically the ch, Posted a year ago. y = x +5 y = -2x -1 Plot two lines by clicking the graph. YOU TRY: Interpret the slope. #%IQGE2\\wtDCmY^`TyF,YYz?h5aTVQpeTsVgvu{w9cI]FO~g5YI And let me show you what that means. Delta Math Answers Hacks You Need to Know Now, The Importance of Research Skills in Academic Writing. We deliver original and unique custom assignment help. Cc math i standards unit 5 slope intercept form part 2 displaying top 8 worksheets found for this concept. Question 4 Line L passes through the points (4 , -5) and (3 , 7). Delta Math Finding the slope graphically - YouTube Delta Math - Finding the Slope Graphically - Brainly Step 2. Worksheet: Calculating the Slope of a Line. How to Find the Slope of an Equation? Find slope by finding the difference in the y points, and divide that by the difference in the x points. b. THEOREM: The graph of a linear equation y = mx + b is a non - vertical line with slope m and passing through (0, b), where b is a constant. Khan Academy is a 501(c)(3) nonprofit organization. Direct link to sp6356's post Using the slope formula,, Posted a year ago. Once all of these programs have been downloaded and installed onto your computer or laptop, it will be time to start playing delta math on your computer or laptop! Privacy Policy Terms of Service. You need to know how many questions there are in each section before taking it because each section has different levels of difficulty depending on how well prepared your students are for that particular section. Texas Go Math Grade 8 Lesson 6.3 Guided Practice Answer Key. jT,2tb}wA?.RySaL~ii QF#.Fuvam-B:&Y,-!`xP|_/MFP3?WZ0%;ftD@:LMk#:++CFAZ$w6NY/[0YKq ; .dm~BS!C8ellA?L.6G`_z^[Lsie|o"i -9claSD}vlLIO|"[;[Xz d/!v?|8>pK~j&-/TyBA99QJ;{A5FkZo|!L &^/#59 We can avoid this by writing a general formula for slope. More importantly, this means they know how to approach problems with different strategies when solving math problems, such as tackling problems one at a time or tackling them by breaking them down into smaller parts if possible. Find the Slope: Line segments in a Triangle. Introduction to slopes: Based on the position of the line on the graph, identify the type of slope - positive, negative, zero or undefined. - Linear equations/functions word problems, Worked example: solutions to 2-variable equations, Completing solutions to 2-variable equations, Solutions to 2-variable equations: substitution (old), Solutions to 2-variable equations: graphical (old), Complete solutions to 2-variable equations, Intercepts of lines review (x-intercepts and y-intercepts), Graphing lines from slope-intercept form review, Slope-intercept equation from slope & point, Slope-intercept equation from slope & point (old), Slope-intercept equation from slope & point: fractions (old), Finding y intercept given slope & point (old), Converting from slope-intercept to standard form, Convert linear equations to standard form, Linear equations word problem: file transfer, Comparing linear functions: equation vs. graph, Comparing linear functions: same rate of change, Comparing linear functions: faster rate of change, Comparing linear functions word problem: climb, Comparing linear functions word problem: walk, Comparing linear functions word problem: work, Graphing linear relationships word problems, Summary: Forms of two-variable linear equations, Interpreting linear functions and equations, Constructing linear models for real-world relationships. Solve to find the x-intercept and y-intercept. Key Words. Slope Formula Calculator (Free online tool calculates slope given 2 points) Objective Students will explore the properties of slope and practice calculating the slope of a line based on two points or from a graph . Knowledge of relevant formulae is a must for students of grade 6 through high school to solve some of these pdf worksheets. This is because your x-value in this situation would be the number of weeks passed since you have created your bank account, and the y-value is how much money you have deposited into your account, fully. People have a good or bad relationship with numbers. Slope of a Line (Graphed Points) Worksheet 4 - Here is a 9 problem worksheet where you will asked to find the rise and run between two points on a line, then determine the slope of the line. This is a two-page worksheet. It gives students a plethora of problems to broaden their knowledge and skills. endstream endobj 35 0 obj <>stream Find the rise and run between any two x- and y- coordinates on the line provided in the second level of worksheets. A virtual private network (VPN) is a secure connection that allows you to connect to a server in another location. Printing Help - Please do not print slope worksheets directly from the browser. They can track and view everything on a single dashboard. Our team of vetted writers in every subject are waiting to help you pass that class. However, it can be one of the delta math answers hack that a student can try during their combat with puzzling questions of math. Use the x- and y- coordinates provided to find the slope (rise and run) of a line using the ratio method. If you write the second equation in Exercise 5.1. In case you are totally unconfident about your preparation and know-how of mathematics, land straight to the next solution. Substitute each pair of x- and y- coordinates in the given formula to find the slope of a line. Find the slope of the line using the points (0, 4) and (-3, 6) Step 2. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators . So let's start at some arbitrary point on this line, and they highlight some of these points. You can find this option with a simple rick-click on the Delta Math dashboard and get a small pop-up on the screen. Also be sure to include the slope formula and define it as vertical change over horizontal change as well. algebra 1 comprehensive review. Map Of Greater Brisbane Suburbs, You can also get free Delta Math quizzes and answer them as often as you want, with no limit on how many times you can take a Delta Math quiz or how much time is allowed for it. Find the rate of change from 1 hour to 2 hours. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Direct link to Isha's post Simplifying just makes it, Posted 3 years ago. Then use the slope formula to find the slope of the line. Draw a line through a point plotted on the graph based on the slope provided in this set of pdf worksheets which is suitable for 9th grade children. Example 1: Finding the Slope from a Graph The table below shows the relationship between the number of seconds y it takes to hear the thunder after a lightning strike and the distance x you are from the lightning. On this worksheet, students are shown x/y value tables. Using the Slope Formula on two points to find the slope of a line % Slope review | Algebra (article) | Khan Academy The slope is. . Explain how you can use mental math to find the slope of the line. The DeltaMath platform has been a lifesaver. These delta math answers hacks are here to keep things sorted for you. Take the Delta Math quiz and answer the questions correctly. Students determine the ordered pairs of the points shown. Non-One Coefficients of y Case. But where will you find these experts? When we graphed the second line in the last example, we drew it right over the first line. ! f(x)=e Find Slope Intercept Form of a Line when given a Linear Equation . Science A spring stretches in relation to the weight hanging from it according to the equation y = 0.75x + 0.25 where x is the weight in pounds and y is the length of the spring in inches. We, however, know how to do the work correctly due to our several years of experience entering. Finding Slope Using Ordered Pairs FREE. With over 10 years in academia and academic assistance, Alicia Smart is the epitome of excellence in the writing industry. Go to : www.deltamath.com and sign in as a Student. Identify the Slope and Y-Intercept 1 = -3x + y . The platform occupies multiple mathematic expressions and topics that are nicely shortlisted in the sub-sections to facilitate easy access to almost every mathematic problem you never wanted to confront. Delta Math Code and HW Answer Keys Delta Math homework assignments will be posted during the academic year. Established in 1974, during the early stages of Abu Dhabis urban planning that has started four years back, Sanitary Materials Company (SMC) was one of the early firms that grew up and rose along with the development of a new city. -10 -9 -8 -5 -4 -3 -2 -1 3. DeltaMath It helps students see how math is used daily and makes them more comfortable. finding the slope graphically delta math answer key Blog A linear equation graphs a straight line. Some problems contain x- and y-intercepts as well. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators . If you're seeing this message, it means we're having trouble loading external resources on our website. Tell whether each slope is positive, negative, undefined, or zero. So the slope of a line is defined to be rise over run. Direct link to Ian Pulizzotto's post Yes you are correct that , Posted 2 years ago. Copyright 2023 DeltaMath.com. ?m04o`htqoWE?cKKQ /z0YkjSAt+&2K9O! g;hF,%g^{(dF[ 2|&-8 H!X('I!!'}H2\6$UDT 5#$O_}Hr-ij,a=E5=8NbB>Bn`VRK,.`dOne{u$*$4&{jM'9G Kw>e)t$V!*$ lG zel#$bR_}R1W,hr7" $[{1BxKZ$:\ I#$ ! A coordinate plane. The slope of any line through two different points with the same x-coordinate (that is, a vertical line) is always undefined, for the reason you stated. start text, S, l, o, p, e, end text, equals, start fraction, start color #e07d10, start text, C, h, a, n, g, e, space, i, n, space, y, end text, end color #e07d10, divided by, start color #1fab54, start text, C, h, a, n, g, e, space, i, n, space, x, end text, end color #1fab54, end fraction, left parenthesis, start color #1fab54, x, start subscript, 1, end subscript, end color #1fab54, comma, start color #e07d10, y, start subscript, 1, end subscript, end color #e07d10, right parenthesis, left parenthesis, start color #1fab54, x, start subscript, 2, end subscript, end color #1fab54, comma, start color #e07d10, y, start subscript, 2, end subscript, end color #e07d10, right parenthesis, start color #1fab54, start text, c, h, a, n, g, e, space, i, n, space, x, end text, end color #1fab54, start color #1fab54, x, start subscript, 2, end subscript, minus, x, start subscript, 1, end subscript, end color #1fab54, start color #e07d10, start text, c, h, a, n, g, e, space, i, n, space, y, end text, end color #e07d10, start color #e07d10, y, start subscript, 2, end subscript, minus, y, start subscript, 1, end subscript, end color #e07d10, start text, S, l, o, p, e, end text, equals, start fraction, start color #e07d10, start text, C, h, a, n, g, e, space, i, n, space, y, end text, end color #e07d10, divided by, start color #1fab54, start text, C, h, a, n, g, e, space, i, n, space, x, end text, end color #1fab54, end fraction, equals, start fraction, start color #e07d10, y, start subscript, 2, end subscript, minus, y, start subscript, 1, end subscript, end color #e07d10, divided by, start color #1fab54, x, start subscript, 2, end subscript, minus, x, start subscript, 1, end subscript, end color #1fab54, end fraction, left parenthesis, 2, comma, 1, right parenthesis, left parenthesis, 4, comma, 7, right parenthesis, x, start subscript, 1, end subscript, equals, 2, y, start subscript, 1, end subscript, equals, 1, x, start subscript, 2, end subscript, equals, 4, y, start subscript, 2, end subscript, equals, 7, space, space, space, space, space, space, space, space, start text, S, l, o, p, e, end text, equals, start fraction, y, start subscript, 2, end subscript, minus, y, start subscript, 1, end subscript, divided by, x, start subscript, 2, end subscript, minus, x, start subscript, 1, end subscript, end fraction, equals, start fraction, 7, minus, 1, divided by, 4, minus, 2, end fraction, equals, start fraction, 6, divided by, 2, end fraction, equals, 3, left parenthesis, 6, comma, minus, 3, right parenthesis, left parenthesis, 1, comma, 7, right parenthesis, x, start subscript, 1, end subscript, equals, y, start subscript, 1, end subscript, equals, x, start subscript, 2, end subscript, equals, y, start subscript, 2, end subscript, equals, start text, S, l, o, p, e, end text, equals, start fraction, y, start subscript, 2, end subscript, minus, y, start subscript, 1, end subscript, divided by, x, start subscript, 2, end subscript, minus, x, start subscript, 1, end subscript, end fraction, equals, left parenthesis, 2, comma, 5, right parenthesis, left parenthesis, 6, comma, 8, right parenthesis, left parenthesis, 2, comma, minus, 3, right parenthesis, left parenthesis, minus, 4, comma, 3, right parenthesis, left parenthesis, minus, 5, comma, minus, 7, right parenthesis, left parenthesis, minus, 2, comma, minus, 1, right parenthesis, x, start subscript, 2, end subscript, equals, x, start subscript, 1, end subscript, start text, S, l, o, p, e, end text, equals, start fraction, y, start subscript, 2, end subscript, minus, y, start subscript, 1, end subscript, divided by, x, start subscript, 2, end subscript, minus, x, start subscript, 1, end subscript, end fraction.
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