Final answer:
The coordinates of point B are (-8, 8).
Step-by-step explanation:
The midpoint of AB can be found by taking the average of the x-coordinates and the average of the y-coordinates of points A and B.
Given that the midpoint M is (-6, 6) and the coordinates of A are (-4, 4), we can set up the following equations:
- (xA + xB)/2 = -6
- (yA + yB)/2 = 6
Solving these equations, we find that the x-coordinate of point B is -8 and the y-coordinate of point B is 8. Therefore, the coordinates of B are (-8, 8).
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