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Math Help - equation of perpendicular line

  1. #1
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    equation of perpendicular line

    find the equation through (6,5) and perpendicular to the line through (1,3) and (4,5).

    what are the steps in solving this problem. thank u!!

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  2. #2
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    The slope if the given line is \frac {2}{3}, so the line perpendicular line has slope \frac {-3}{2}.
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  3. #3
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    Quote Originally Posted by Plato View Post
    The slope if the given line is \frac {2}{3}, so the line perpendicular line has slope \frac {-3}{2}.
    so flip the numerator and denom and add negative sign?


    so inthis case the equation will be y = \frac{-3}{2}x + 14
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  4. #4
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    Yes. The slope of the perpendicular line is the negative reciprocal of the given slope.
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