Let (x, y) be the other point.
So we have, using the mid-point formula......
(3 + x) /2 = 3.5 and (-4 + y)/2 = -3 multipling both equations by 2 on both sides
3 + x = 7 and -4 + y = -6 and solving for x and y, we have
-3 -3 +4 +4
x = 4 and y = -2
So the point is (4, -2)