Final answer:
The coordinates of endpoint G are (-5, 2).
Step-by-step explanation:
To find the coordinates of endpoint G, we can use 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 midpoint is M(-3,1) and one endpoint is H(-7,3), we can substitute these values into the formula.
x-coordinate of G = (x-coordinate of H + x-coordinate of M) / 2 = (-7 + (-3)) / 2 = -10 / 2 = -5
y-coordinate of G = (y-coordinate of H + y-coordinate of M) / 2 = (3 + 1) / 2 = 4 / 2 = 2
Therefore, the coordinates of endpoint G are (-5, 2).