The general equation for a circle with center (a,b) and squared radius k is
[tex](x-a)^2 + (y-b)^2 = k[/tex]
Here we have
[tex](x- - 4)^2 + (y -1)^2 = k[/tex]
and the constant is fixed by substituting in the point we know (x,y)=(3,-5)
[tex](x + 4)^2 + (y-1)^2 = (3+4)^2 + (-5-1)^2 = 85[/tex]
Answer:
[tex](x + 4)^2 + (y-1)^2 = 85[/tex]
