# A circle has a center that falls on the line #y = 6/7x +7 # and passes through # ( 7 ,8 )# and #(3 ,9 )#. What is the equation of the circle?

##### 1 Answer

Nov 8, 2016

graph{(6/7x+7-y)(y-17/2-4(x-5))(y-9+1/4(x-3))((x-7)^2+(y-8)^2-0.04)((x-3)^2+(y-9)^2-0.04)((x-259/44)^2+(y-265/22)^2-0.04)((x-259/44)^2+(y-265/22)^2-34085/44^2)=0 [-5, 19, 5, 17]}

#### Explanation:

Call the points

Get the direction of

The direction of

Let

The equation of

The center

Solving the system we obtain

and for the radius