Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 2 - Section 2.3 - Writing Equations of Lines - 2.3 Exercises - Page 172: 8

Answer

Graph D

Work Step by Step

Using $y=mx+b$ or the slope-intercept form of linear equations where $b$ is the $y-$intercept and $m$ is the slope, the given equation, $ y=-2x+3 ,$ has the following characteristics: \begin{array}{l}\require{cancel} \text{$y-$intercept: } 3 \\\text{slope: } -2 .\end{array} The $y-$intercept is located on the positive $y-$axis. Since the slope is a negative number, then the line is inclined to the left. These characteristics are best exemplified by $\text{ Graph D .}$
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