Final answer:
The coordinates of the midpoint of a line segment can be found using the midpoint formula, which states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints. Applying this formula to the given line segment GH with endpoints G(-3,0) and H(7,-8), the coordinates of the midpoint M are (2, -4).
Step-by-step explanation:
The coordinates of the midpoint of a line segment can be found by using the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.
Given that the endpoints of line segment GH are G(-3,0) and H(7,-8), we can calculate the coordinates of the midpoint M as follows:
x-coordinate of M = (x-coordinate of G + x-coordinate of H) / 2 = (-3 + 7) / 2 = 4 / 2 = 2
y-coordinate of M = (y-coordinate of G + y-coordinate of H) / 2 = (0 + (-8)) / 2 = -8 / 2 = -4
Therefore, the coordinates of the midpoint M are (2, -4).