Circles Precalculus

Question

Recall the equation for a circle with center  and radius . At what point in the first quadrant does the line with equation  intersect the circle with radius 6 and center (0, 2)?

 = 

Answer 1

Equation of circle x² + (y - 2)² = 36; y = 2.5x + 2; x² + 6.25x² = 36; 7.25x² = 36; x² = 144/29; x = 12/√29;

y = 30/√26 + 2