Question

Write the standard equation for the circle with center (6, –8) that passes through (0, 0).(x – 6)2 + (y + 8)2 = 0(x – 6)2 + (y + 8)2 = 100(x + 6)2 + (y – 8)2 = 100(x + 6)2 + (y – 8)2 = 0

Answer 1

Your equation is:

(x - 6)² + (y + 8)² = 100

When you plug in (0, 0) into this equation, you get:
(0 - 6)² + (0 + 8)² = 100
(- 6)² + 8² = 100
36 + 64 = 100
100 = 100