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Math Help - equation of locus

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    equation of locus

    Derive the equation of the locus of all points whose distance to the point F(-5,4) is half the distance to the line y = -4. Leave your answer in general form.
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  2. #2
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    Quote Originally Posted by Mr_Green View Post
    Derive the equation of the locus of all points whose distance to the point F(-5,4) is half the distance to the line y = -4. Leave your answer in general form.
    Distance from a point requires the distance formula.

    If points are (a,b), then the distance is: \sqrt{(a-(-5))^{2}+(b-4)^{2}}

    Distance from the line y = -4 is simply b - (-4)

    A little algebra and you're done. Do you recognize it with a familiar name??
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