Answer
$m=-2$
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 containing the given points, $\left(
-1,4
\right) \text{ and } \left(
5,-8
\right)$, is
\begin{array}{l}
m=\dfrac{4-(-8)}{-1-5}
\\\\
m=\dfrac{4+8}{-1-5}
\\\\
m=\dfrac{12}{-6}
\\\\
m=-2
.\end{array}