Answer
$\text{slope is undefined}$
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}
