Question

Which is an equation of a circle with center (-5, -7) that passes through the point (0, 0)?

Answer 1

radius is the distance from (0,0) to (-5,-7)

Answer 2

\[r = \sqrt{5^2 + 7^2} = \sqrt{74}\]

center(h,k) = (-5,-7)

Fill in

(x-h)^2 + (y-k)^2 = r^2

Answer 3

just putting in the numbers gives

(x+5)^2 + (y+7)^2 = 74