Answer:
Centre (4, -1)
Radius = 5
Step-by-step explanation:
First, rearrange the equation, collecting x terms together and y terms together and any constants, move over to the other side, like so:
x² - 8x + y² + 2y = 8
Now, complete the square with both the x terms and y terms, like so:
(x - 4)² - 16 + (y + 1)² - 1 = 8
Move constants over to the other side;
(x - 4)² + (y + 1)² = 25
This is now the classical format of any circle equation and can be interpreted as such;
A circle with centre (4, -1) and radius 5
