Answer
$m=\dfrac{5}{2}$
Work Step by Step
Using $m=\dfrac{y_1-y_2}{x_1-x_2}$ (or the Slope Formula), the slope, $m$, of the line through $(
-7,-4
) \text{ and } (
-3,6
)$ is
\begin{array}{l}
m=\dfrac{-4-6}{-7-(-3)}
\\\\
m=\dfrac{-4-6}{-7+3}
\\\\
m=\dfrac{-10}{-4}
\\\\
m=\dfrac{5}{2}
.\end{array}