Answer:
A. (x - 4)² + (y + 7)² = 81
Step-by-step explanation:
The general equation for a circle is given by the formula;
x² + y² + 2hx + 2ky + c = 0 ......equation 1.
Where the center is C(-h, -k)
Also, the standard form of the equation of a circle is;
(x - h)² + (y - k)² = r² ......equation 2.
Where;
- h and k represents the coordinates of the centre.
- r represents the radius of the circle.
Given the following data;
h = 4
k = -7
r = 9
Substituting into eqn 2, we have;
(x - 4)² + (y - {-7})² = 9²
Simplifying further, we have;
(x - 4)² + (y + 7)² = 81
