Answer
$x=2$
Work Step by Step
RECALL:
(1) A vertical line has an undefined slope and has an equation of the form $x=h$ where $h$ is the x-coordinate of all the points on the line.
(2) A horizontal line has a slope of zero and has an equation of the form $y=k$ where $k$ is the y-coordinate of all the points on the line.
(3) A vertical line and a horizontal line are perpendicular to each other.
The line we are looking for the equation if is perpendicular to the line $y=1$.
$y=1$ is a horizontal line so its slope is zero.
This means that the line we are looking for the equation of is vertical and has an equation of the form $x=h$.
The line passes through the point $(2, 6)$.
The x-coordinate of this point is $2$.
Therefore, the equation of the line we are looking for is:
$x=2$
