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Math Help - Finding a point distance n between two points.

  1. #1
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    Finding a point distance n between two points.

    It's been years since I've had to use algebra and this problem is driving me crazy.

    I have point A(5651,4768) and point B(5649,4742).

    I want to find a point C(x,y) that is distance 15 from point A, along the line AC.


    I've sort of figured it out, but I don't know how to express Cx=?? and Cy=?? in equation form.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by ccsutton View Post
    It's been years since I've had to use algebra and this problem is driving me crazy.

    I have point A(5651,4768) and point B(5649,4742).

    I want to find a point C(x,y) that is distance 15 from point A, along the line AC.


    I've sort of figured it out, but I don't know how to express Cx=?? and Cy=?? in equation form.
    By the distance formula, we want

    15 = \sqrt{(x - 5651)^2 + (y - 4768)^2}

    Find the equation of the line connecting points A and B in terms of x, and then replace y with that expression in the above formula. Solve for x and you are on your way
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