A circle has a center that falls on the line #y = 2/7x +7 # and passes through # ( 3 ,4 )# and #(6 ,1 )#. What is the equation of the circle?
1 Answer
Explanation:
The general Cartesian form for the equation of a circle is:
Substitute the point
Substitute the point
Expand the squares of equation [2] and [3]:
Subtract equation [5] from equation [4]:
Remove all of the 0 terms and move the constant to the right:
Evaluate the given equation,
Substitute equation [7] into equation [6]:
Solve for h:
Use equation [7] to find the value of k:
Use equation [2] to find the value of r:
Use equation [1] to write the equation: