A(-4,4), B(-5,-1), C (-3,1)

To find the centroid of the triangle, we need to average the coordinates of A, B, and C.

The centroid G has coordinates:

G_x = (A_x + B_x + C_x) / 3
G_y = (A_y + B_y + C_y) / 3

G_x = (-4 + (-5) + (-3)) / 3 = -12 / 3 = -4
G_y = (4 + (-1) + 1) / 3 = 4 / 3

Therefore, the centroid G of triangle ABC is (-4, 4/3) or (-4, 1.3333...).