Answer
$m=-\dfrac{3}{2}$
Work Step by Step
Using $m=\dfrac{y_1-y_2}{x_1-x_2}$ (or the Slope Formula), then the slope of the line that passes through $(
5,-8
)$ and $(
-7,10
)$ is
\begin{array}{l}
m=\dfrac{-8-10}{5-(-7)}
\\\\
m=\dfrac{-8-10}{5+7}
\\\\
m=\dfrac{-18}{12}
\\\\
m=\dfrac{-3}{2}
\\\\
m=-\dfrac{3}{2}
.\end{array}