CCGPS AG 6.3.1 Example 3
Determine whether the line with equation intersects the circle centered at with radius 4. If it does, then find the coordinates of the point(s) of intersection.
- Write the system of equations represented by the line and the circle.
- Substitute the -value from the linear equation into the equation of the circle and then solve the resulting equation.
- The linear equation in the system is , so any solution must have as its -coordinate. Use this fact along with the results from step 2 to write the solutions of the system.