A circle centered at (0,-8) passes through the point (2,5). Find the equation of the circle. Write your equation in the form (x - h)^2 + (y- k)^2 = r^2.
r^2 = (2 - 0)^2 + (5 - - 8)^2 = 4 + 13^2 = 4 + 169 = 173
(h, k) = the coordinates of the center = ( 0 , -8)
So.....the equation is
( x - 0)^2 + ( y - - 8)^2 = 173 simplify
x^2 + (y + 8)^2 = 173
