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Analytic Geometry

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write the equation of a line through (4,1) and:
A. parallel
B. perpendicular to the line through (7,3) and (5,-1).

=Express the equation in 5 different forms.

please help!!

  • Analytic Geometry - ,

    A. The line through (7,3) and (5,-1)has slope
    m = (y2-y1)/(x2-x1) = (-4)/(-2) = 2

    To pass through (4,1) and be parallel to the given line, the equation must be
    (y-1)/(x-4) = 2
    y - 1 = 2x -8
    y = 2x -7

    I don't see why they need 5 variations of that. I'll leave that up to you.

    One could be 2x -y = 7

    B) To be perpendicular to the given line, the slope must be m = -1/2.

    Proceed as in part A.

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