Question 835267
I plotted your equations and the point of interest.
You're correct.  

{{{ drawing(300,300,-8,2,-2,8,grid(1),
circle(-1,6,0.25),
graph( 300, 300, -8,2, -2, 8, 2x+9, 2x+8, -(1/2)x+11/2) )}}}