Answer
$m=-\dfrac{5}{6}$
Work Step by Step
Using $m=\dfrac{y_1-y_2}{x_1-x_2}$ or the Slope Formula, then the slope of the line containing the given points, $(
-4,2
) \text{ and } (
2,-3
)$, is
\begin{array}{l}
m=\dfrac{2-(-3)}{-4-2}
\\\\
m=\dfrac{2+3}{-4-2}
\\\\
m=\dfrac{5}{-6}
\\\\
m=-\dfrac{5}{6}
.\end{array}
