Directed line segment DE has endpoints D(-4,-2) and E(1,8). Point F divides DE such that DF:FE is 2:3. What are the coordinates of F?

Question

A. (-3,0)
B.(-2,2)
C(-1,4)
D.(2,4)

Answer 1

in x first
Ex - Dx = 1 - -4 = 5
if ratio is 2/3 then DF/DE = 2/5 and FE/DE =3/5
so Fx = Dx + 2/5 *5 = -4+2 = -2

Ey - Dy = 8 - -2 = 10
so Fy =Dy +2/5 * 10 = -2+4 = +2
so
(-2 , +2)

Answer 2

Thank you so much!

Answer 3

You are welcome.