## Precalculus (6th Edition)

Published by Pearson

# Chapter 2 - Graphs and Functions - 2.5 Equations of Lines and Linear Models - 2.5 Exercises: 36

#### Answer

slope = $-2$ y-intercept: $(0, 7)$ Refer to the graph below.

#### Work Step by Step

RECALL: The slope-intercept form of a line's equation is $y=mx+b$ where $m$=slope and $(0, b)$ is the line's y-intercept. Thus, the equation $y=-2x+7$ has a slope of $-2$ and a y-intercept of $(0, 7)$. To graph the equation, perform the following steps: (1) Plot the y-intercept $(0, 7)$. (2) Use the slope to plot a second point. Since the slope is $-2$, from $(0, 7)$, move 2 units down (the rise) and 1 unit to the right (the run) to reach the point $(1, 5)$. Plot $(1. 5)$. (3) Connect the points using a straight line. (Refer to the graph in the answer part above)

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