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: 20


$m=\dfrac{2}{3}$ 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 the coordinates of the points $(-1,1)$ and $(2,3)$ to obtain: $m=\dfrac{3-1}{2-(-1)}=\dfrac{2}{3}$ Plot the points and connect them using a line.
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