Answer
See graph
Work Step by Step
$$x^2+y^2-2x-6y-5=0$$
$$x^2+y^2-2x-6y=5$$
$$x^2-2x+1+y^2-6y+9=5+1+9$$
$$(x-1)^2+(y-3)^2=15$$
The center is (1,3) and the radius is $\sqrt{15}$.
Points to plot are:
$$(1+\sqrt{15},3)$$
$$(1-\sqrt{15},3)$$
$$(1,3+\sqrt{15})$$
$$(1,3-\sqrt{15})$$
Approximate these values with a calculator, plot these points and connect with a circle.
