College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 2 - Review Exercises - Page 277: 52


$\text{slope is undefined}$

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the Slope Formula to find the slope of the line passing through the given points $\left( 5,6 \right)$ and $\left( 5,-2 \right).$ $\bf{\text{Solution Details:}}$ With the given points, \begin{array}{l}\require{cancel} y_1= 6 ,\\y_2= -2 ,\\x_1= 5 ,\text{ and }\\ x_2= 5 .\end{array} Using $m=\dfrac{y_1-y_2}{x_1-x_2}$ or the Slope Formula, the slope, $m,$ of the line is \begin{array}{l}\require{cancel} m=\dfrac{6-(-2)}{5-5} \\\\ m=\dfrac{6+2}{5-5} \\\\ m=\dfrac{8}{0} \\\\ \text{slope is undefined} .\end{array}
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