The midpoint of 𝐴𝐵 A B is at (−4,−1) ( − 4 , − 1 ) . If 𝐴=(8,−5) A = ( 8 , − 5 ) , find 𝐵 B .

Answer 1

B is at (x,y)

A is at ( 8,-5)

midpoint at (-4,-1)

Then -4 = (x+8)/2 and -1 = (y+-5)/2

-8 = x + 8 -2 = y + -5

x = -16 y = 3

B is at (-16,3)

The midpoint of (-16,3) and (8,-5) is (-4,-1)