Intersection between circle and line

**Egoist** · August 30th 2009, 12:21 PM

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

**Plato** · August 30th 2009, 01:19 PM

Originally Posted by Egoist

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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