Answer
$\text{slope}=-\dfrac{3}{7}$
Work Step by Step
RECALL:
The slope is equal to rise (increase or decrease in vertical height) over run (the horizontal distance).
Rise = $y_2-y_1$
Run = $x_2-x_1$
The line contains the points $(-5, 1)$ and $(2, -2)$. Thus,
Rise = $-2-1 = -3$
Run = $2-(-5)=2+5=7$
Therefore, the slope of the line is:
$=\dfrac{rise}{run} = \dfrac{-3}{7}=-\dfrac{3}{7}$