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

Thank you very much