Write the standard form of the circle with the center (-11,11) and a point on the circle (-15,7)
You have the center....you need to find the radius...this will be the distance from the center to the point given
d = sqrt ( (-11 - -15)^2 + (11-7)^2 ) = sqrt 32
Then standard form is (x-h)^2 + (y-k)^2 = r^2
(x+11)^2 + (y-11)^2 = 32
Here is a pic:
https://www.desmos.com/calculator/pqssr0xmvj