What is the slope of (5, -3) and (8, -5) tell me how you got your answer

To find the slope, you find the change in y-values over the change in x-values. 

Your first point is: (5,-3)
Your second point is (8, -5)
Your x-values are: 5 and 8
Your y-values are -3 and -5
The equation to find slope is: slope = (y2-y1)/(x2-x1)
       - The 2s and 1s indicate which point the values belong to, it makes sure               that you align the right x-value with its correct y-value. It doesn't matter               which point you assign as 1 or 2, as long as the values match
             - So, x-value 5 will match with y-value -3, and x-value 8 will match with                  y-value -5

Now you plug in out values :
slope = (y2-y1)/(x2-x1)
slope = (-5-(-3))/(8-5)
slope = (-2)/(3)
slope = -2/3

Label your coordinates first. (5,-3) 5 is x1 and -3 is y1. (8,-5) 8 is x2 and -5 is y2.
Take y2-y1 divided by x2-x1
-5- -3/ 8-5
-5- -3 is -2 and 8-5 is 3
So your slope would be -2/3