Answer
slope = $-\dfrac{1}{3}$
Work Step by Step
RECALL:
The slope $m$ of a line is given by the formula $m=\dfrac{y_2-y_1}{x_2-x_1}$ where $(x_1, y_1)$ and $(x_2, y_2)$ are points on the line.
Use the formula above to obtain:
$m=\dfrac{-1-1}{2-(-4)}=\dfrac{-2}{2+4}=\dfrac{-2}{6}=-\dfrac{1}{3}$