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: 17


$m=\dfrac{-3}{2}=-1.5$ Refer to the graph below.

Work Step by Step

The slope of the line can be determined by the equation: $m=\dfrac{y_2-y_1}{x_2-x_1}$ where $(x_1, y_1)$ and $(x_2, y_2)$ are two given points on the line. Here, we can substitute in the coordiantes of the points $(2,3)$ and $(4,0)$ to obtain: $m=\dfrac{0-3}{4-2}=\dfrac{-3}{2}=-1.5$ The graph is in the picture below.
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