Answer
No graph
Work Step by Step
$x^2+y^2-16x+12y+200=0$
$x^2-16x+y^2+12y=-200$ (Add with $64$ and $36$ to complete the square)
$x^2-16x+64+y^2+12y+36=-200+64+36$
$(x-8)^2+(y+6)^2=-100$
There is no point which satisfies the last equation.
So, the graph of the equation is nothing.