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Math Help - locus

  1. #1
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    locus

    A straight line y=mx-5-2m meets x-axis and y-axis at point J and K respectively. Find the locus of the midpoint of JK when m is varied.
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  2. #2
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    Re: locus

    What have you tried? Do you have a formula for the midpoint in terms of m? If so, you should be able to treat m as a parameter and eliminate it. You'll get a function you can plot. See the pdf.
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  3. #3
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    Re: locus

    Quote Originally Posted by Trefoil2727 View Post
    A straight line y=mx-5-2m meets x-axis and y-axis at point J and K respectively. Find the locus of the midpoint of JK when m is varied.
    You can determne K and J by setting x to 0 and solving for y and then setting y to 0 and solving for x. Then find the midpoint of those two points.
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  4. #4
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    Re: locus

    but the answer given does not have m..
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  5. #5
    MHF Contributor MarkFL's Avatar
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    Re: locus

    Quote Originally Posted by Trefoil2727 View Post
    but the answer given does not have m..
    It was suggested that you eliminate the parameter m, can you state the parametric equations?
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