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