Answer :
Answer:
x² + 12x + y² + 4y - 25 = 0
Step-by-step explanation:
Equation of a circle
- (x - h)² + (y - k)² = r²
- (h, k) = coordinates of circle
- (x, y) = coordinates of point on circle
- r = radius
Finding r
- (-10 + 6)² + (-9 + 2)² = r²
- r² = 16 + 49
- r = √65
Making the equation
- (x + 6)² + (y + 2)² = (√65)²
- x² + 12x + 36 + y² + 4y + 4 = 65
- x² + 12x + y² + 4y - 25 = 0