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Math Help - Analytic geometry

  1. #1
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    Analytic geometry

    End points of a line segment are A(-7,-1) and B (5,5).
    Midpoint is (-1,2) and slope is -2

    Question - Show that the origin, (0,0), lies on the right bisector of AB.

    Which equation do I use and can you write it out for the answer, thanks for your help in advance.
    Joanne
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    Quote Originally Posted by bradycat View Post
    End points of a line segment are A(-7,-1) and B (5,5).
    Midpoint is (-1,2) and slope is -2

    Question - Show that the origin, (0,0), lies on the right bisector of AB.

    Which equation do I use and can you write it out for the answer, thanks for your help in advance.
    Joanne
    The slope of the line segment is 1/2 NOT -2.

    Therefore the slope of the right-bisector is -2. So the equation of the right-bisector is y - 2 = -2 (x - [-1]).

    Simplify this equation and then show that (0, 0) satisfies it.
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