Answer:
A.
(x - 5)^2 + (y + 8)^2 = 4
Step-by-step explanation:
The equation for a circle in center radius form is
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
We need to determine the radius, from the two points which is the distance
d = sqrt( (x2-x1)^2 + (y2-y1)^2)
= sqrt( (5-5)^2+( -8--6)^2)
= sqrt(0+ (-8+6)^2)
= sqrt( 0+(-2)^2)
= sqrt(4)
= 2
The radius is 2 and the center is (5,-8)
(x-5)^2 + (y--8)^2 = 2^2
(x-5)^2 + (y+8)^2 = 4
