Question

Identify the center of the circle whose equation is
(x - 2)2 + (y + 8)2 = 16.

Answer 1

2x - 4 + 2y + 16 = 16
16 - 4 = 12
2x + 2y + 12 = 16
16 - 12 = 4
4/2 = 2x + y
2/2 = 1x + y

Answer 2

I believe the answer to your question would be x = -y + 2