Answer
slope = $\frac{7}{5}$
The line through the points rises from left to right.
Work Step by Step
RECALL:
The slope of the line that passes through the points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula:
$m=\dfrac{y_2-y_1}{x_2-x_1}$
Solve for the slope of the line that passes through the two given points using the formula above to obtain:
$m=\dfrac{5-(-2)}{2-(-3)}=\dfrac{5+2}{2+3}=\dfrac{7}{5}$
A line with a positive slope rises from left to right.