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Math Help - Find the point (x, y) on the line y=x that is equidistant from the points....

  1. #1
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    Find the point (x, y) on the line y=x that is equidistant from the points....

    Hi there I need a bit of help!
    Find the point (x, y) on the line y=x that is equidistant from the points (9, −1) and (−10, −10).

    I'm not really sure how to do it! Anything helps! Thank you!
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Find the point (x, y) on the line y=x that is equidistant from the points....

    Use the fact that y=x and the distance formula to state:

    (x-9)^2+(x+1)^2=(x+10)^2+(x+10)^2

    Now solve for x...
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