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Math Help - Coordinate Geometry

  1. #1
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    Coordinate Geometry

    Write a formula for the distance from A = (1, 5) to P = (x, y), and another formula for the distance from P = (x, y) to B = (5, 2). Then write an equation that says that P is equidistant from A and B. Simplify your equation to linear form.
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  2. #2
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    Quote Originally Posted by thamathkid1729 View Post
    Write a formula for the distance from A = (1, 5) to P = (x, y), and another formula for the distance from P = (x, y) to B = (5, 2). Then write an equation that says that P is equidistant from A and B. Simplify your equation to linear form.
    1. Based on the Pythagorean theorem the distance between the points P(x_P, y_P) and Q(x_Q, y_Q) is calculated by:

    d(P,Q)=\sqrt{(x_P - x_Q)^2+(y_P-y_Q)^2}

    2. You'll get the equation

    d(A,P) = d(B, P)

    i) Square both sides of the equation.
    ii) Expand the brackets.
    iii) Collect like terms - and you're done.
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