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Find the slope and the y-intercept of the graph o…

01:16

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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 69 Hard Difficulty

Find the slope and the y-intercept of the graph of each equation and graph it. See Examples 4 and 5.
$$
4 x+y=-4
$$

Answer

y intercept = -4
Points (0,-4) and (-1,0)

Related Courses

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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Equations and Inequalities

Linear Functions

Systems of Equations and Inequalities

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Video Transcript

So here is slope intercept form y equals MX plus B. And here's our equation, which is not in slope intercept form. But it would be nice if it was because then we would know the slope and the Y intercept. So what we're going to do is change the form of our equation. And to do that we can subtract four X from both sides, and that gives us why equals negative for X minus four. So now it's in slope intercept form and we can see that m the slope is negative for and we can see that be the Y. Coordinate of the Y intercept is also negative for so the Y intercept is the 0.0 negative. For now, we'll graph the line so we start by plotting the y intercept the 0.0 negative for and from there we're going to use the slope to help us find another point. Since the slope is negative, for you can think of it as negative for over one, and that tells you to go down for and write one. So from the point plotted down for right one, you can also go the opposite direction up four left one. You can do that as many times as you want, and then connect the points with a nice straight line. Use a ruler if you can, and extend beyond the points and you have your line.

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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