# How do you graph #x^2+y^2-8x+6y+16=0#?

##### 1 Answer

Set your compass to a radius of 3, put the centerpoint at

#### Explanation:

This is a circle. To find the center and the radius, we must complete the squares for both x terms and y terms:

Add

Use the linear x term to find the value of h by setting it equal to -2xh:

Substitute

Use the linear y term to find the value of k by setting it equal to -2yk:

Substitute

The final equation is:

This is a circle with a center of