Answer
$m=\dfrac{7}{5}$
Work Step by Step
Using $m=\dfrac{y_1-y_2}{x_1-x_2}$, the slope of the line determined by the given points, $(
-1,3
) \text{ and } (
-6,-4
),$ is
\begin{array}{l}\require{cancel}
m=\dfrac{3-(-4)}{-1-(-6)}
\\\\
m=\dfrac{3+4}{-1+6}
\\\\
m=\dfrac{7}{5}
.\end{array}