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A line having slope $\frac{2}{3}$ passes through …

01:15

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100 Problem 101 Problem 102 Problem 103 Problem 104 Problem 105 Problem 106 Problem 107 Problem 108 Problem 109 Problem 110 Problem 111 Problem 112 Problem 113 Problem 114 Problem 115 Problem 116

Problem 113 Hard Difficulty

Use the concept of slope to determine whether $A(-50,-10), B(20,0),$ and $C(34,2)$ all lie on the same straight line.

Answer

Related Courses

Algebra

Elementary and Intermediate Algebra

Chapter 3

Graphing Linear Equations and Inequalities in Two Variables; Functions

Section 4

Slope and Rate of Change

Related Topics

Graphs and Statistics

Equations and Inequalities

Linear Functions

Systems of Equations and Inequalities

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Absolute Value - Example 1

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Video Transcript

All right. So my plan to figure out whether all these three points are on the same line or not is to find the soap between A and B and then the slope between B and C, and that will help me know if they all fall in the same line. So for the slow between and B, I'm going to call that m sub baby and why two minus y one will be zero minus negative. 10 and extra minus X one will be 20 minus negative 50. And that gives me 10 over 70 or 1/7 and now for the slope between B and C. I'll call that M sub BC Why to minus why one would be to minus zero over x two minus x 1 34 minus 20. And so that gives me 20 over Fort are to over 14 which is also 1/7 and just for fun. How about one more? How about the slope between A and C? So the slope for me to see why to minus why one would be to minus negative 10 and x two minus X one would be 34 minus negative 50. And that gives me 12 over a four that also reduces to 1/7 so these points are all on the same line.

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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