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Write the equation of the prpendicular bisector of the line segment AB with endpoints A(1,1) and B(7,5). Write the answer in slope-intercept form.

  • Algebra -

    first you need the midpoint of the line segment
    which is (4,3)
    now find the slope of the given line which is 2/3
    so the slope of the perpendicular is -3/2

    y = (-3/2)x + b
    but you know (4,3) lies on it , so
    3= (-3/2)(4) + b
    3 = -6 + b
    b = 9

    y = (-3/2)x + 9

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