Answer
$m=\dfrac{6}{5}$
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, $(
-2,5
) \text{ and } (
-7,-1
),$ is
\begin{array}{l}\require{cancel}
m=\dfrac{5-(-1)}{-2-(-7)}
\\\\
m=\dfrac{5+1}{-2+7}
\\\\
m=\dfrac{6}{5}
.\end{array}
