Question 765486
There are two possible circles with the given condition.
here's the graph:
{{{drawing(400,400,-10,10,-10,10,grid(1),circle(2,6,sqrt(10)),circle(-4,4,sqrt(10)), graph( 400, 400, -10, 10, -10, 10, -3x+2 ), blue(line(2,6,-1,5)), green(line(-4,4,-1,5)) )}}}

The equations of the circles are {{{highlight((x-2)^2 + (y-6)^2 = 10)}}} and {{{highlight((x+4)^2 + (y-4)^2 = 10)}}}.