What is the equation of a circle with center (-4,7) and radius 6

(x + 4) ² + (y - 7) ² = 36

Step-by-step explanation:

The equation of a circle is

(x - h) ² + (y - k) ² = r² where (h, k) is the center, and r is the radius

Plug in what you were given, and simplify ...

(x - (-4)) ² + (y - 7) ² = 6²

(x + 4) ² + (y - 7) ² = 36