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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 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 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 108 Hard Difficulty

Which of the following equations has the steeper graph, $103 x-200 y=-400$ or $17 x-33 y=-66 ?$

Answer

$0,51515 ....>0.515$

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Algebra

Elementary and Intermediate Algebra

Chapter 3

Graphing Linear Equations and Inequalities in Two Variables; Functions

Section 5

Slope–Intercept Form

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Linear Functions

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Video Transcript

So here we have the equations of two lines and the question Which line is deeper? And so we're gonna have to find the slopes of these lines to answer that question. So let's go ahead and change each equation into slope intercept form. So with the first equation, I'm going to start by subtracting 103 x from both sides. So have negative 200. Why equals negative? 103 x minus 400. Now I'm going to divide both sides by negative 200. So why equals 103 2 hundreds, X plus two and for the other equation, same idea. Subtract 17 x from both sides and we have negative 33 y equals negative 17 x minus 66. And then we divide both sides by negative 33 we get Y equals 17 33rd X plus two. Now we just have to figure out which of these two slopes is the greater slope. The greater slope will be, um, corresponding to the steeper line. Now it's difficult to compare these two fractions as they are, So what we can do is put them into the calculator and find the approximate value. So this faction here is 0.515 That's the exact value, actually. And this fraction here is approximately 0.51515 ever so slightly bigger. So the steeper line is the 2nd 1

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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