Answer
$$r = 6\sec \theta $$
Work Step by Step
$$\eqalign{
& x = 6 \cr
& {\text{Convert to polar form, using }}x = r\cos \theta \cr
& r\cos \theta = 6 \cr
& \frac{{r\cos \theta }}{{\cos \theta }} = \frac{6}{{\cos \theta }} \cr
& r = 6\sec \theta \cr
& {\text{The graph represents a vertical line at }}x = 6 \cr
& {\text{Graph}} \cr} $$