Answer
$m=-\dfrac{10}{3}$
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, $(
-2,5
) \text{ and } (
1,-5
),$ is
\begin{array}{l}\require{cancel}
m=\dfrac{5-(-5)}{-2-1}
\\\\
m=\dfrac{5+5}{-3}
\\\\
m=\dfrac{10}{-3}
\\\\
m=-\dfrac{10}{3}
.\end{array}
