A circle has a center that falls on the line #y = 8/9x +4 # and passes through # ( 3 ,1 )# and #(5 ,7 )#. What is the equation of the circle?
1 Answer
Oct 26, 2016
The equation of the circle is
Explanation:
Let the center of the circle be
The the equation of the circle is
The circle passes through the two points. So
and
We can equalize the two equations
Developing and simplifying
We obtain the equation 2 from the equation of the line
Solving for
and the radius of the circle is
So the equation of the circle is