Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.1 - Linear Equations in Two Variables - 2.1 Exercises - Page 172: 109

Answer

The greater the absolute value of the slope, the more quickly the line rises or falls.

Work Step by Step

Consider the lines: $y=0.5x$ $y=x$ $y=2x$ $y=4x$. We graph the lines. We notice that the greater the slope, the more quickly the line rises. Consider the lines: $y=-0.5x$ $y=-x$ $y=-2x$ $y=-4x$. We graph the lines. We notice that the greater the absolute value of the slope, the more quickly the line falls. Therefore, we conclude the greater the absolute value of the slope, the more quickly the line rises or falls.
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