Answer:
see explanation
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
To obtain this form use the method of completing the square on both the x and y terms
x² - 6x + y² + 2y = - 9 ← rearranging
x² + 2(- 3)x + 9 + y² + 2(1)y + 1 = - 9 + 9 + 1
(x - 3)² + (y + 1)² = 1 ← in standard form
with centre (3, - 1) and radius 1
