Question 1015843
There is no solution. Please see this graph. 

*[illustration Screen_shot_2016_01_26_at_7.44.48_AM.png]

The red line is the equation x-2y+8=0. The point (-1,6) forms a perpendicular line to it at (0,4) which is {{{sqrt(5)}}} away. 

The circle equation is {{{(x+1)^2+(y-6)^2=5}}} but as you see, it's tangent to the one line, not both at once.