The midpoint of AB is M (1,-3). if the coordinates of A are (-6,-7), what are the coordinates of B

Answer 1

If the coordinates of A are (a,b) and the coordinates of B are (x,y) then the coordinates of the midpoint are given by ((a+x)/2, (b+y)/2). By the assumptions we have that (-6+x)/2=1 which implies that x=8 and (-7+y)/2=-3 which implies that y=1. Hence, the coordinates of the point B are (8,1).