Answer
slope = $-\dfrac{9}{4}$
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.
Find the slope of the line that contains the two given points using the formula above to obtain:
$m=\dfrac{-3-6}{-1-(-5)}=\dfrac{-9}{-1+5}=\dfrac{-9}{4}=-\dfrac{9}{4}$