This can be solved using the slope formula.
(y2 - y1) / (x2 - x1) = m
m means slope in this formula.
In this formula, y2 and x2 are the coordinates in point 2.
x2 and x1 are point 1's coordinates.
Which points are point 1 and 2 doesn't affect the answer.
Let's use point R as point 1 and point S as point 2.
Point 1: (-3, 5)
x1 = -3
y1 = 5
Point 2: (3, -2)
x2 = 3
y2 = -2
Now we can plug these values into the equation and solve for slope.
(-2 - 5) / (3 - [-3]) =Â m
First solve -2 - 5 and 3 - (-3).
-2 - 5 = -7
3 - (-3) = 3 + 3 = 6
(-7) / (6) =Â m
While -7 / 6 = m doesn't seem solved, it is. This is because slope is kept in fraction form as rise over run. In this case, the rise is -7 and run is 6.
m = -7/6 is the answer, meaning the slope is -7/6.
Hope this helps!