Answer
$x=2$, or, in general form, $x-2=0$
Work Step by Step
Through $(2,6);$ perpendicular to the line $y=1$
A point through which the line passes and the fact that the line is perpendicular to the line $y=1$ are known.
Since the line whose equation must be found is perpendicular to the line $y=1$ and the line $y=1$ is completely horizontal, then the first line is completely vertical and its equation can be represented just by making $x$ equal to the $x$ coordinate of some known point through which the line passes.
The equation of the line is:
$x=2$, or, in general form, $x-2=0$