Segments AB and PQ share a midpoint. Point A is at (3, 2) and the endpoints of segment PQ are P(7, 9) and Q(9, 6). What is the sum of the coordinates of point B?
Midpoint of PQ = [ (9 + 7) / 2, (6+ 9) /2 ] = (8, 15/2) = ( 8, 7.5)
Coordinates of B = (x, y)....so.....
(3 + x) / 2 = 8 (2 + y) / 2 = 7.5
3 + x = 8*2 2 + y= 7.5*2
3 + x =16 2 + y= 15
x = 13 y = 13
B = (13, 13)
