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Math Help - Analytic Geometry

  1. #1
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    Question Analytic Geometry

    Help
    Determine an equation for the right bisector of the line segment joining (-1,2) and (3,6)
    any ideas
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  2. #2
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    Quote Originally Posted by diva25 View Post
    Help
    Determine an equation for the right bisector of the line segment joining (-1,2) and (3,6)
    any ideas
    The midpoint of the line segment will give you a point on the line you want.

    \frac{- 1}{\text{Gradient of line segment}} will give you the gradient of the line you want.

    Use these two things to get the equation of the line you want.
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  3. #3
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    Smile Mr Fantastic

    Thank you, it's been 30 years since I've done math and I have to prove myself I guess, to be able to take a calculus course and this was just one of my 100 questions.
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  4. #4
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    Quote Originally Posted by diva25 View Post
    Help
    Determine an equation for the right bisector of the line segment joining (-1,2) and (3,6)
    any ideas
    midpoint=(x1+x2/2 + y1+y2/2)
    = (-1+3/2 + 2+6/2)
    = (2/2 + 8/4)
    midpoint= (1,2)

    now you must find the slope of the line
    slope= y2-y1/x2-x1
    =6-2/3-(-1)
    =4/4
    =1
    slope=1

    now since its a right bisector it must be the negative reciprocal, therefore the slope of the line you want is -1

    now simply plug the values into the equation of a line first putting it into the equation y- k = m(x - h)

    then solve the point slope equation for y to get y=mx+b



    can you finish it?
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