Question

3. What are the intersection points of the line whose equation is y=3x +3 and the

circle whose equation is (x - 2)² + y2 = 25?

Answer 1

(-2 , -3) and (0.6 , 4.8)

Explanation:

y=3x +3

(x - 2)² + y² = 25

(x - 2)² + (3x +3)² = 25

x²-4x+4+9x²+18x+9-25=0

10x²+14x-12=0

5x²+7x-6=0

(x+2)(5x-3)=0

x = -2 or x = 3/5 (-0.6)

y = -3 or y = 4 4/5 (4.8)