the standard equation of the circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
here, h & k is the centre coordinate.
the given equation is
(x -9)^2 + (y + 4)^2 = 1
(x -9)^2 + (y - (-4))^2 = 1
compare this equation with standard form
h = 9 & k = -4
so the centre's coordinate is ()
