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Math Help - Closest point on line to two points...

  1. #1
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    Closest point on line to two points...

    Hy im having problem solving one problem with derivates i think.

    I have two points and im looking for closest summed distance point on line.

    two points are T1(-1, 2) and T2(1,6) and line is very simple y = x.
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  2. #2
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    Quote Originally Posted by PJani View Post
    Hy im having problem solving one problem with derivates i think.

    I have two points and im looking for closest summed distance point on line.

    two points are T1(-1, 2) and T2(1,6) and line is very simple y = x.
    since y = x ...

    d = \sqrt{(x+1)^2 + (x-2)^2} + \sqrt{(x-1)^2 + (x-6)^2}
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  3. #3
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    Quote Originally Posted by skeeter View Post
    since y = x ...

    d = \sqrt{(x+1)^2 + (x-2)^2} + \sqrt{(x-1)^2 + (x-6)^2}
    Thank you it helped...what about other more extended functions y = k*x +n?
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  4. #4
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    Quote Originally Posted by PJani View Post
    Thank you it helped...what about other more extended functions y = k*x +n?
    what about them?

    same procedure, but instead of (x,x) on the line y = x, you'll have (x, kx+n) on the line y = kx+n
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  5. #5
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    Quote Originally Posted by skeeter View Post
    what about them?

    same procedure, but instead of (x,x) on the line y = x, you'll have (x, kx+n) on the line y = kx+n
    just in case. :P
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