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