Final answer:
The coordinates for point B are (13, -3).
Step-by-step explanation:
The coordinates for point B can be found by using the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are given by:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
In this case, the coordinates of the midpoint C are (5, 2) and the coordinates of A are (-3, 7). Plugging these values into the midpoint formula, we get:
Midpoint = ((-3 + x2)/2, (7 + y2)/2) = (5, 2)
Solving for x2 and y2, we get:
x2 = 2*5 + 3 = 13
y2 = 2*2 - 7 = -3
Therefore, the coordinates for point B are (13, -3).