# How do you graph #x^2 + y^2 – 6x + 8y + 9 = 0#?

##### 1 Answer

Draw a circle with radius

#### Explanation:

Given:

Re-arrange into standard circle equation form:

Re-group:

Complete the squares:

Write as squared binomials and simplify the right side:

or

Recalling that the standard circle equation is

for a circle with center

The given equation is that of a circle with center

graph{x^2+y^2-6x+8y+9=0 [-5.72, 12.066, -8.194, 0.69]}