## Calculus (3rd Edition)

$$(9,18,3).$$
The parametric equations of the line are given by $$x=1+4t, \quad y=9t, \quad z=-1+2t.$$ Now, substituting in the equation of the plane $$x-z=6\Longrightarrow 1+4t+1-2t=6\\ \Longrightarrow 2t=4\Longrightarrow t=2.$$ So the point of intersection is given by $$(9,18,3).$$