Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 2 Linear Equations and Functions - 2.3 Graph Equations of Lines - 2.3 Exercises - Skill Practice - Page 94: 56

Answer

The steepness when $m>0$ is greater as $m$ increases. The steepness when $m<0$ is greater as $m$ decreases.

Work Step by Step

Graph the equation $y=mx$ for $m=-3,-2,-1,1,2,3$. We notice that the lines with $m>0$ lie in Quadrants I and III; when $m$ grows, the steepness grows, and the line gets closer and closer to the $y$-axis. When $m<0$, the lines lie in Quadrants II and IV; when $m$ decreases, the steepness grows, and the line gets closer and closer to the $y$-axis.
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