Answer
$m=\dfrac{3}{4}$
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, $(
4,-1
) \text{ and } (
-4,-7
),$ is
\begin{array}{l}\require{cancel}
m=\dfrac{-1-(-7)}{4-(-4)}
\\\\
m=\dfrac{-1+7}{4+4}
\\\\
m=\dfrac{6}{8}
\\\\
m=\dfrac{\cancel{2}\cdot3}{\cancel{2}\cdot4}
\\\\
m=\dfrac{3}{4}
.\end{array}
