A circle has a center that falls on the line #y = 7/2x +3 # and passes through #(1 ,2 )# and #(6 ,1 )#. What is the equation of the circle?
1 Answer
Explanation:
The standard form for the equation of a circle is:
where
Using the two points, we write two equations:
Using the pattern
Subtract the first equation from the second:
Substitute
Set the right sides equal:
Substitute the center into the first equation: