#### Answer

$m=\dfrac{-3}{8}$

#### Work Step by Step

RECALL:
The slope $m$ of a line that passes through the points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula:
$m=\dfrac{y_2-y_1}{x_2-x_1}$
Substitute the x and y coordinates of the given points to obtain:
$m=\dfrac{-2-1}{3-(-5)}
\\m=\dfrac{-3}{3+5}
\\m=\dfrac{-3}{8}$