Answer
See graph
Work Step by Step
$$x^2+y^2+6x-4y=3$$
Complete the square.
$$x^2+6x+9+y^2-4y+4=3+9+4$$
$$(x+3)^2+(y-2)^2=16$$
The center is (-3,2) and the radius is 4.
Points to plot are:
$$(1,2)$$
$$(-7,2)$$
$$(-3,6)$$
$$(-3,-2)$$
Plot these points and connect with a circle.
