Answer:
[tex] (x, y) = (2, 1) [/tex]
Step-by-step explanation:
Given vertices of a triangle:
[tex] (x_1, y_1) = (-4, -2) [/tex]
[tex] (x_2, y_2) = (1, 0) [/tex]
[tex] (x_3, y_3) = (9, 5) [/tex]
Using the centroid formula:
[tex] (x, y) = (\frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3}) [/tex]
Plug in the values into the formula
[tex] (x, y) = (\frac{-4 + 1 + 9}{3}, \frac{-2 + 0 + 5}{3}) [/tex]
[tex] (x, y) = (\frac{6}{3}, \frac{3}{3}) [/tex]
[tex] (x, y) = (2, 1) [/tex]
