The midpoint of AB ‾ AB is M ( − 5 , 0 ) M(−5,0). If the coordinates of A A are ( − 3 , 3 ) (−3,3), what are the coordinates of B B?

Answer 1

B is at (x,y)

(-3+x)/2 = -5 and (3+y)/2 = 0

Then -3+x = -10 and 3+y = 0

Therefore x=-7 and y=-3

B is at (-7,-3)

check: midpoint of (-3,3) and (-7,-3) is (-5,0)

B is at (-7,-3) is the official, checked, and proven answer

Answer 2

The x-coordinate is shifted to the left by 2 units and the y-coordinate is shifted down by 3 units to get from point A to the midpoint, so repeat the coordinate translations and get (-7, -3) for point B.