Final answer:
The coordinates for point B are (1/2, 9/2).
Step-by-step explanation:
To find the coordinates for point B, we can use 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 the averages of the x-coordinates and the y-coordinates. In this case, the coordinates of A are (-3, 7) and the coordinates of C (the midpoint) are (5, 2).
Therefore, the x-coordinate of the midpoint is (-3 + 5)/2 = 1/2 and the y-coordinate is (7 + 2)/2 = 9/2.
Hence, the coordinates for point B are (1/2, 9/2).