Answer
undefined; the line is vertical
Work Step by Step
Simply apply the points to the slope formula and then simplify. Since the answer is undefined, the line is vertical.
$(5,3)$ and $(5,-2)$
$\frac{y_2-y_1}{x_2-x_1}$
$\frac{-2-3}{5-5}$
$\frac{-5}{0}$
undefined