Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 1 - Graphs - 1.3 Lines - 1.3 Assess Your Understanding - Page 30: 14


a) $-\dfrac{1}{2}$ b) If $x$ decreases by $2$ units, then $y$ increases by $1$ unit.

Work Step by Step

We know that by the Slope Formula: if $P_1(x_1,y_1)$ and $P_2(x_2,y_2)$ are on a line, then the slope is: $m=\dfrac{y_2-y_1}{x_2-x_1}$. a) Solve for the slope using the formula above to obtain $m=\dfrac{1-0}{-2-0}=-\dfrac{1}{2}$. b) A slope of $-\dfrac{1}{2}$ means that if $x$ decreases by $2$ units, then $y$ increases by $1$ unit.
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