Answer:
G is equal to (8, -11)
Step-by-step explanation:
We are given the midpoint and one end of the line segment. We can find the other end of it by taking the distance from H to M, doubling it, and adding that to H:
[tex]G(x, y) = H(x, y) + 2(M(x, y) - H(x, y))\\\\G_x = H_x + 2(M_x - H_x)\\G_x = -4 + 2(-6 - (-4))\\G_x = -4 + 2(-2)\\G_x = -4 - 4\\G_x = 8\\\\G_y = H_y + 2(M_y - H_y)\\G_y= 3 + 2(- 3 - 4)\\G_y= 3 - 6 - 8\\G_y = -11[/tex]
So the coordinates of endpoint G are (8, -11)
