Answer
The slope is undefined and the line is vertical.
Work Step by Step
Let \[\left( {{x}_{1}},{{y}_{1}} \right)=\left( 5,3 \right)\]and\[\left( {{x}_{2}},{{y}_{2}} \right)=\left( 5,-3 \right)\].
Slope of line can be find by:
\[m=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}}\]
Substitute the values to get,
\[\begin{align}
& m=\frac{\left( -3 \right)-3}{5-5} \\
& =\frac{-9}{0}
\end{align}\]
The slope is undefined and the line is vertical.
