A circle has a center that falls on the line #y = 5/8x +6 # and passes through # ( 1 ,5 )# and #(2 ,4 )#. What is the equation of the circle?
1 Answer
Explanation:
The equation of a circle is:
where r is the radius and (h, k) is the center.
Using the given points we can use the above to create two equation:
Because
Use the pattern
Combine like terms:
Substitute the point (h, k) into the given linear equation:
Because k = k we can set the right sides equal: