Answer:
-5.5
Step-by-step explanation:
You want the weighted average of -8 and +2, given respective weights of 3/4 and 1/4.
When the weights total 1, we can find the weighted average by finding the sum of products of each value multiplied by its weight:
(-8)(3/4) +(2)(1/4) = -6 +1/2 = -5 1/2
The weighted average of the points is -5.5.
__
Additional comment
The calculator shown in the attachment uses integer weights. When the weights do not total 1, the sum of products is divided by the total of the weights. (-8·3 +2·1)/(3+1) = -22/4 = -5.5