Question

NEED HELP ON THIS PLEASE

Answer 1

Use the Midpoint Theorem, which states that for two points (x_1, y_1) and (x_2, y_2):

((x_1 + x_2)/2 , (y_1 + y_2)/2)

So, plug in the values:

((8 + -10)/2 , (-10 + -8)/2) = (-1, -9)

The answer is (B).

Answer 2

Here we're dealing in two dimensions and thus need a separate midpoint equation for each variable, x and y. First, take the average of the x-coordinates of these two given points: (8-10)/2, or -1. This is the desired x-coordinate of the midpoint. Next, take the average of the y-coordinates of these two points: (-10-8)/2, or -9.

Then the midpoint of the line segment joining the two given points is (-1,-9).