Answer
The slope of the line is $\frac{5}{2}$.
Work Step by Step
The given points are
$(x_1,y_1)=(-2,-2)$ and $(x_2,y_2)=(0,3)$
Slope
$\Rightarrow m=\frac{y_2-y_1}{x_2-x_1}$
Substitute all the values.
$\Rightarrow m=\frac{3-(-2)}{0-(-2)}$
Simplify.
$\Rightarrow m=\frac{3+2}{0+2}$
$\Rightarrow m=\frac{5}{2}$
Hence, the slope of the line is $\frac{5}{2}$.
