Question 866242
Identify three points.  

Point R  on the line is (1,1).
Point P on the circle being the point of tangency is an unknown point P (x,y).
Point C, the center of the circle.


You want the equation for the circle in standard form so you (1) know point C and (2)  can find y as a function of x for this circle.  You need to know how to Complete The Square, in order to put into standard form.


Two more things you want to do:
Make expression for the slope of CP;and; Make expression for the slope of PR.
The product of the slopes must be {{{-1}}}, so setting up this equality will allow you to solve for the x value for these slopes AND especially for point P's x coordinate.


You should definitely draw a picture or graph sketch of all this.


If you can make sense of this description and process, then you will be able to solve the problem.