Geometry

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?

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

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  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)

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  2. Thank you so much!

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  3. You are welcome.

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