Answer
$m=\dfrac{5}{4}$
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, $(
-2,12
) \text{ and } (
-10,2
),$ is
\begin{array}{l}\require{cancel}
m=\dfrac{12-2}{-2-(-10)}
\\\\
m=\dfrac{12-2}{-2+10}
\\\\
m=\dfrac{10}{8}
\\\\
m=\dfrac{\cancel{2}\cdot5}{\cancel{2}\cdot4}
\\\\
m=\dfrac{5}{4}
.\end{array}
