Answer:
(- 9, 6)
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + 9)² + (y - 6)² = 10 ← is in standard form
with (h, k) = (- 9, 6) ← coordinates of centre
