College Algebra (11th Edition)

$\text{slope is undefined}$
$\bf{\text{Solution Outline:}}$ 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}