Answer
$m=-\frac{5}{3}$
Work Step by Step
To find the slope, we use the formula $m=\frac{y_2-y_1}{x_2-x_1}$.
We plug in the $x$ and $y$ values from the given coordinate pairs: $m=\frac{3-(-2)}{-2-1}$
We simplify above and below the fraction bar with subtraction: $m=\frac{5}{-3}$
Then, we move the negative sign out front: $m=-\frac{5}{3}$