Question

The midpoint of start overline, AB, end overline
AB
is M, left parenthesis, minus, 4, comma, 0, right parenthesisM(−4,0). If the coordinates of AA are left parenthesis, minus, 2, comma, minus, 6, right parenthesis(−2,−6), what are the coordinates of BB?

Answer 1

Let B = (x, y). Midpoint formula gives
(x + (−2))/2 = −4 and (y + (−6))/2 = 0.
So x − 2 = −8 → x = −6, and y − 6 = 0 → y = 6.
Thus B = (−6, 6).