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Homework Help: Analytical Geometry (Division of line segments)

  1. Jan 25, 2017 #1
    1. Here is the Problem:

    A line passes through A(2,3) and B(5,7).
    (a) the coordinates of the point P on AB
    extended through B to P so that P is twice as far from A as from B;
    (b) the coordinates if P is on AB extended through A so that P is twice as far from B as from A.

    2. Relevant equations:
    To get the coordinates P, here is the equation i used:

    R is the Ratio of AP/AB

    I'll do the same for Yp

    3. The attempt at a solution:

    So this is my attempt to solve the (a) P Coordinates.

    AP = 2BP


    X = X1+R(X2-X1)
    X = 2+2(5-2)
    X = 2+2(3)
    X = 2+6
    X = 8

    For Y:

    Y = 3+2(7-3)
    Y = 3+2(4)
    Y = 3+8
    Y = 11

    ∴ (a)P (8,11)

    As i attempt to graph it. It seems like it is too much based on the problem. What did I miss?
  2. jcsd
  3. Jan 25, 2017 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Your solution looks fine.
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