Question

HELP PLEASE!! I Will Give Metals..
Write an equation for the circle with center (-4, 4) and containing the point (-1, 16).

Answer 1

(x-h)^2 + (y-k)^2 = r^2
(h,k) being the center of the circle and r being the radius
you're given (-4,4) as your (h,k)
so plugging that into the equation you get
(x+4)^2 + (y-4)^2 = r^2
you are still missing your "r"
(-1,16) is (x,y) so plugging that in for for x and y you'll have
(-1+4)^2 + (16-4)^2 = r^2
(3)^2 + (12)^2 = r^2
9 + 144 = r^2
153 = r^2
sqrt 153 = r^2


and plug it all in
(x+4)^2 + (y-4)^2 = sqrt 153
and you're all done :)

Answer 2

Thank you so much!

Answer 3

You're welcome :)