A circle has a center that falls on the line #y = 7/6x +1 # and passes through #(1 ,4 )# and #(8 ,5 )#. What is the equation of the circle?
1 Answer
Jul 16, 2016
Explanation:
The equation of the circle is
where
To find the center note that since the points
Rearranging, we get a linear equation obeyed by
However, we already know
Solving this pair of linear simultaneous equations gives
Substituting this back in the equation