I'm struggling with a math problem involving circles:
This is the question:
find the coordinates of the points where the circle meets the line with the equations X + Y = 6.
I have already found the equation of the circle, the raidus and the centre of the circle. Here the are: Centre: (-1,2)
Equation of circle: x^2 + y^2 + 2x -4y = 8
Radius: sq root of 13
I've tried solving it as a simulanteous equation and using the equation for the line and the equation of the circle but have been unable to come up with any answer. Any help is very much appreciated.