Find the midpoint of the line segment having the given endpoints:

(8,-4) and (-7,8)

midpoint ( (8+(-7))/2 , ((-4+8)/2) )

Thank you for your help, however my test is multiple choice and the answers do not correspond with the formulas.

a- 1/2,2
b- 1, 4
c- 15/2,-6
d- 15, -12

Yes, they do. One answer is exactly what I typed.

sure they do, just solve what is written for you 8+ -7/2 = 1/2 and -4 + 8/2 equals 4/2 or 2 so you have m(1/2, 2)

564545

To find the midpoint of a line segment with given endpoints (x1, y1) and (x2, y2), you can apply the midpoint formula. The midpoint formula states that the coordinates of the midpoint are given by the average of the x-coordinates and the average of the y-coordinates of the given endpoints.

In this case, the given endpoints are (8, -4) and (-7, 8).

To find the x-coordinate of the midpoint, you add the x-coordinates of the endpoints and divide the result by 2:
x = (8 + (-7)) / 2 = 1 / 2 = 0.5

To find the y-coordinate of the midpoint, you add the y-coordinates of the endpoints and divide the result by 2:
y = (-4 + 8) / 2 = 4 / 2 = 2

Therefore, the midpoint of the line segment with endpoints (8, -4) and (-7, 8) is (0.5, 2).