Answer
$x=12t; y=16-22t; z=18-18t$
Work Step by Step
The line passing through containing the point $P(p,q,r)$ and parallel to the normal vector $n=\lt a,b,c\gt$ is expressed by the parametric equations as follows:
$x=p+at; y=q+bt; z=r+ct$
Here, $t$ is any real number.
Now, the line passing through containing the point $P(12,16,18)$ and parallel to the normal vector $n=\lt 0,-22,-18 \gt $ is expressed by the parametric equations as follows:
$x=12+0t; y=16-22t; z=18-18t$
or, $x=12t; y=16-22t; z=18-18t$
