The midpoint of AB is M (3,1). If the coordinates of A are (4,3) what are the coordinates of b?

Answer 1

(x,y) are the coordinates of B

(4+x)/2 = 3 and (3+y)/2 = 1

4+x=6 and y+3 = 2

x=2 and y=-1

so B is at (2,-1)

check: the midpoint of (4,3) and (2,-1) is [(4+2)/2 , (3+-1)/2]

( 6/2, 2/2)

(3,1)

B is at (2,-1). That is the correct, checked, verified, and official answer