Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 2 - Section 2.4 - Linear Functions and Slope - Exercise Set - Page 151: 24


The slope is $m=+5$, the line rises.

Work Step by Step

Slope is defined as $m=\displaystyle \frac{\text{change in y}}{\text{change in x}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} .$ If m is undefined, the line is vertical. If m is positive, the line rises ( y increases as we increase x). If m is zero, the line is horizontal ( y doesn't change as we increase x). If m is negative, the line falls ( y decreases as we increase x). --- Here, $m=\displaystyle \frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{6-(-4)}{-1-(-3)}=\frac{10}{2}=+5$ The slope is $m=+5$, ( defined, positive) so the line rises.
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