Answer
$-\frac{1}{3}$
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 coordinates: $m=\frac{-4-(-3)}{5-2}$
We simplify above and below the fraction bar with subtraction: $m=\frac{-1}{3}$
We simplify the fraction by writing the negative sign out front: $-\frac{1}{3}$