Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - Chapter 2 Test Prep - Review Exercises - Page 297: 50

Answer

$$m=\dfrac{6}{5}$$

Work Step by Step

RECALL: The slope $m$ of the line that contains the points $(x_1, y_1)$ and $(x_2, y_2)$ can be found using the formula: $$m=\dfrac{y_2-y_1}{x_2-x_1}$$ Use the formula above to obtain: $$m=\dfrac{-2-7}{\frac{1}{2}-8} \\m=\dfrac{-9}{\frac{1}{2}-\frac{16}{2}} \\m=\dfrac{-9}{-\frac{15}{2}} \\m=-9 \cdot \frac{-2}{15} \\m=\dfrac{18}{15} \\m=\dfrac{6}{5}$$
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