# How do you write the equation for a circle that passes through the points at (4,5), (-2,3) and (-4,-3)?

##### 1 Answer

Jun 26, 2016

#### Explanation:

let's substitute each coordinate of all points in the general equation of the circle:

so that you have three equations with unknown variables a,b,c:

let's solve in a few steps:

that is equivalent to:

By subtracting you obtain:

so, by substituting the obtained value of a:

so

The equation of the circle is: