Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter F - Foundations: A Prelude to Functions - Section F.3 Lines - F.3 Assess Your Understanding - Page 29: 15

Answer

$m=-1.5$ See the graph below.

Work Step by Step

The slope of the line that passes throught two points $(x_1, y_1)$ and $(x_2, y_2)$ can be found using the formula: $m=\dfrac{y_2-y_1}{x_2-x_1}$ Thus, the slope of the line passing through the two given points is: $m=\dfrac{0-3}{4-2}=\dfrac{-3}{2}=-1.5$ To graph, plot both points then connect them using a straight line. Refer to the graph above.
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