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Math Help - Urgent help with coordinate geometry: perp. distance

  1. #1
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    Urgent help with coordinate geometry: perp. distance

    Need help with this qustion from coordinate geometry:

    Write down the equation of any line through the point (-4, 2).
    Hence find the equations of the two lines through the point (-4, 2) whose perpendicular distance from the origin is 2.

    Please post the solution to the problem, not only the answer.
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  2. #2
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    The distance from the origin to your line is given by \frac{|C|}{\sqrt{A^{2}+B^{2}}}=2

    You also have -4A+2B+C=0

    The slope of the line will be negative.

    Here's the graph of your line. Can you get anywhere?. Try letting B=1 and then use the two equations to solve for A and C.
    Last edited by galactus; November 24th 2008 at 06:38 AM.
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