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Math Help - Graph Problem

  1. #1
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    Graph Problem

    I'm having trouble determining what format my answer is supposed to take in the following problem:

    The point P(x,y) satisfies the condition that is equidistant from the points A(4,1) and B (-3,5). Find and simplify an equation relating x and y. By simplify, we mean that you should re-write your equation so there are no square roots or fractional exponents present.

    I know that one possible location for P is (0.5,3), which is also the midpoint of AB. They apparently want me to create an equation that equals zero. I tried y-6x, but was told that is incorrect.

    What do they mean by "an equation relating x and y"?
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  2. #2
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    Re: Graph Problem

    Quote Originally Posted by PseudoThesis View Post
    I'm having trouble determining what format my answer is supposed to take in the following problem:

    The point P(x,y) satisfies the condition that is equidistant from the points A(4,1) and B (-3,5). Find and simplify an equation relating x and y. By simplify, we mean that you should re-write your equation so there are no square roots or fractional exponents present.
    Write the equation of the line perpendicular to the line segment at the midpoint.
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  3. #3
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    Re: Graph Problem

    I'm sorry, but I don't understand how to do that. Wouldn't a perpendicular line fall on C(-4,1) and D(3,5)? If so, how do I write an equation for this?
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  4. #4
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    Re: Graph Problem

    Quote Originally Posted by PseudoThesis View Post
    I'm sorry, but I don't understand how to do that. Wouldn't a perpendicular line fall on C(-4,1) and D(3,5)? If so, how do I write an equation for this?
    You know the midpoint (-0.5,3).
    The slope of \overleftrightarrow {CD} is \frac{4}{7}.
    So the slope of the perpendicular is \frac{-7}{4}.
    Write the equation.
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