Find an equation of a circle that satisfies the given conditions. center (−5, 4), passes through (−8, −6)

Answer 1

(x+5)^2 + (y-4)^2 = r^2 where r= the circle's radius

plug in the point (-8,-6) = (x,y)

(-8+5)^2 + (-6-4)^2 = r^2

simplify

9 + 100 = r^2

r^2 = 109

the circle is (x+5)^2 + (y-4)^2 = 109