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Luthien
Lv 4
Luthien asked in Science & MathematicsMathematics · 1 decade ago

Analytic Geometry help?

Point C is on hte segment AB which has endpoints A(2,-1) and B (1,5). Point C is twice as far from point A as it is from point B. What are the coordinates of C?

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  • disposable_hero_too
    Lv 6
    1 decade ago
    Favorite Answer

    delta x = (1 - 2) = -1

    delta y = (5 - (-1)) = 6

    so C is 2/3 of -1 on x and 2/3 of 6 on y from A:

    2 + 2/3(-1) = Xc

    -2 + 2/3(6) = Yc

    2 - 2/3 = 6/3 - 2/3 = 4/3 = Xc

    -2 + 12/3 = -2 + 4 = 2 = Yc

    C = (4/3, 2)

    Best of luck!

  • cidyah
    Lv 7
    1 decade ago

    x1=2 y1=-1 x2=1 y2=5

    The coordinates of C are (2x1+x2)/3, (2y1+y2)/3

    (4+1)/3,(5-2)/3 =( 5/3,3/3)=

    (5/3,1)

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