Answer
$m=-\dfrac{2}{7}$
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, $\left(
-5,-1
\right) \text{ and } \left(
2,-3
\right)$, is
\begin{array}{l}
m=\dfrac{-1-(-3)}{-5-2}
\\\\
m=\dfrac{-1+3}{-5-2}
\\\\
m=\dfrac{2}{-7}
\\\\
m=-\dfrac{2}{7}
.\end{array}