A circle has a center that falls on the line #y = 5/6x +8 # and passes through #(4 ,8 )# and #(2 ,5 )#. What is the equation of the circle?
1 Answer
The equation of the circle is
Explanation:
Let the line
Let the points
The mid-point of
The slope of
The slope of the line perpendicular to
The equation of the line through
We need the point of intersection of line
The center of the circle is
The radius of the circle is
The equation of the circle is
graph{(y-5/6x-8)((x-1/3)^2+(y-149/18)^2-4381/324)=0 [-8.29, 7.505, 4.45, 12.35]}