You can find the slope, m, of a line passing through two points (x1, y1) and (x2, y2) by using the slope formula:

m = (y2-y1)/(x2-x1)

In this problem, (3, -7) = (x1, y1) and (-2, 5) = (x2, y2) that is:

x1 = 3

y1 = -7

x2 = -2

y2 = 5

Making the appropriate substitutions into the formula, we get:

m = (5-(-7))/(-2-3)

Simplifying this :

m = -12/5

The slope is -12/5.