## Precalculus (6th Edition)

Published by Pearson

# Chapter 2 - Graphs and Functions - Quiz - Page 233: 9

#### Answer

(a) $m=\dfrac{3}{2}$ (b) $m=0$ (c) slope is undefined

#### Work Step by Step

RECALL: The slope $m$ of the line that contains $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula: $$m=\dfrac{y_2-y_1}{x_2-x_1}$$ Use the formula above to obtain: (a) $m=\dfrac{11-5}{5-1}=\dfrac{6}{4}=\dfrac{3}{2}$ (b) $m=\dfrac{4-4}{1-(-7)}=\dfrac{0}{1+7}=\dfrac{0}{8}=0$ (c) $m=\dfrac{-4-12}{6-6}=\dfrac{-16}{0}$ (slope is undefined)

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