Answer
$x=-1$
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-coordiante of all the points on the line.
(2) Vertical lines are parallel to each other.
The line we are looking for the equation if is parallel to the line $x=5$.
$x=5$ is a vertical line so its slope is undefined.
This means that the line we are looking for the equation of is also vertical and has an equation of the form $x=h$.
The line passes through the point $(-1, 2)$.
The x-coordinate of this point is $-1$.
Therefore, the equation of the line we are looking for is:
$x=-1$
