Answer
$m=-\dfrac{3}{2}$
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, $(
-6,-1
) \text{ and } (
-2,-7
),$ is
\begin{array}{l}\require{cancel}
m=\dfrac{-1-(-7)}{-6-(-2)}
\\\\
m=\dfrac{-1+7}{-6+2}
\\\\
m=\dfrac{6}{-4}
\\\\
m=\dfrac{\cancel{2}\cdot3}{\cancel{2}\cdot(-2)}
\\\\
m=\dfrac{3}{-2}
\\\\
m=-\dfrac{3}{2}
.\end{array}
