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Math Help - Intersection between circle and line

  1. #1
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    Intersection between circle and line

    How do I calculate the intersection points between a line, and a circle graphed on the same plane? This used to be pretty simple business to me, but it has been almost three years since I did anything like this.

    Specifically, the equation of my circle is (x-1280)^2+(y-800)^2=422500 and the equation of the lines I want to intersect the circle with are y=1/12x+2080/3 and y=-1/12x+2720/3




    Thank you very much
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  2. #2
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    Quote Originally Posted by Egoist View Post
    Specifically, the equation of my circle is (x-1280)^2+(y-800)^2=422500 and the equation of the lines I want to intersect the circle with are y=1/12x+2080/3 and y=-1/12x+2720/3
    Solve this equation: \left( {x - 1280} \right)^2  + \left( {\frac{x}{{12}} + \frac{{2080}}{3}} -800 \right)^2  = 422500.
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