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Thread: equation of perpendicular line

  1. November 21st 2008, 05:43 AM #1
    jvignacio
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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. November 21st 2008, 05:52 AM #2
    Plato
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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. November 21st 2008, 06:01 AM #3
    jvignacio
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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. November 21st 2008, 06:02 AM #4
    Chop Suey
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    Yes. The slope of the perpendicular line is the negative reciprocal of the given slope.
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