Question

Find the centroid of triangle EFG with vertices at E(-5,5), F(-1,3), and G(-3,1) How do i find the answer to this problem?

Answer 1

Use two medians and find their intersection point.

Answer 2

midpoint M of EF = (-3, 4)
slope of median GM = 0
y - 4 = 0(x- (-3))
y=4

Answer 3

midpoint N of FG = (-2, 2)
slope of median EN = 3/7
y - 2 = 3/7(x-(-2))
y = (3/7)x + 6/7+ 2
y = (3/7)x +20/7

Answer 4

Now just solve for the intersection of these two medians.