Question

point A is a+(-4,8) and point Misat (1,7.5) point M is the midpoint of point A and point B What are the coordinates of point B

Answer 1

Explanation:

what I understood from your scrambled problem definition :

A = (-4, 8)

M = midpoint between A and B = (1, 7.5)

we need to find B.

the midpoint between 2 points C and D is in general :

(Mx, My) = ((Cx + Dx)/2, (Cy + Dy)/2)

so, in our case that is

(1, 7.5) = ((-4 + Bx)/2, (8 + By)/2)

that gives us 2 equations :

1 = (-4 + Bx)/2

7.5 = (8 + By)/2

2 = -4 + Bx

Bx = 6

15 = 8 + By

By = 7

B = (6, 7)