Write an equation of the circle with center (7,-9) and radius 6

The answer to your question is  (x - 7)² + (y + 9)² = 36

Step-by-step explanation:

Data

Center = (7, -9)

radius = 6

Process

1.- Write the standard form of a circle

             (x - h)² + (y - k)² = r²

2.- Identify the values of h, k and r

    h = 7   k = - 9  r = 6

3.- Substitution

             (x - 7)² + (y + 9)² = 6²

4.- Simplification

             (x - 7)² + (y + 9)² = 36