Answer
$-\frac{5}{3}$
Work Step by Step
First point on the line is $(x_1,y_1)= (-2,-1)$.
and second point the line is $(x_2,y_2)=(-5,4)$.
Slope $m=\frac{y_2-y_1}{x_2-x_1}$.
Substitute all the values.
$m=\frac{4-(-1)}{-5-(-2)}$
Simplify.
$m=\frac{4+1}{-5+2}$
$m=-\frac{5}{3}$.