Question 1194269
{{{x^2+y^2-6x+2y+5=0}}}
This looks like conic section either CIRCLE (or <i>maybe</i> hyperbola...)
{{{x^2-6x+y^2+2y=-5}}}
Complete the Squares.
{{{x^2-6x+9+y^2+2y+1=-5+9+1}}}
{{{(x-3)^2+(y+1)^2=5}}}
{{{or}}}{{{better}}}
{{{highlight((x-3)^2+(y+1)^2=(sqrt(5))^2)}}}--------------If that was all you need then this is finished.  You have enough information to make a graph based on the form of this equation.