Final answer:
The midpoint M of the line segment GH with endpoints G(7, -2) and H(-5, -6) is found using the midpoint formula and has the coordinates (1, -4).
Step-by-step explanation:
The student asked to find the coordinates of the midpoint M of the line segment GH with endpoints G(7, -2) and H(-5, -6). To find the midpoint, we use the midpoint formula, which is (x_1 + x_2) / 2 for the x-coordinate and (y_1 + y_2) / 2 for the y-coordinate.
So the midpoint M's x-coordinate is (7 + (-5)) / 2 = 1, and the y-coordinate is (-2 + (-6)) / 2 = -4.
Therefore, the midpoint M has the coordinates (1, -4).