To find the slope of a line that passes through two points, the formula is
y2 - y1 / x2 - x1
So, what you do is take the y coordinate in your first point, which in this case is 2, and subtract it from your y coordinate in the second point, which is 3.
3 - 2 = 1
1 / x2 - x1
Now take the x coordinate in your first point, which in this case is 5, and subtract it from the x coordinate in your second point, which is -2.
-2 - 5 = -7
Now you're left with 1 / -7.
1 / -7 = ~-0.14
So the slope is ~-0.14
Hope this helps!!