# Thread: Intersection between circle and line

1. ## 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 $\displaystyle (x-1280)^2+(y-800)^2=422500$ 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

2. Originally Posted by Egoist
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 $\displaystyle y=-1/12x+2720/3$
Solve this equation: $\displaystyle \left( {x - 1280} \right)^2 + \left( {\frac{x}{{12}} + \frac{{2080}}{3}} -800 \right)^2 = 422500$.