Answer
The set of points of the form $(2, y)$ is a vertical line that is $2$ units to the right of the $y$-axis.
Refer to the plot below.
Work Step by Step
To locate the point $(2, 0)$, from the origin, go $2$ units to the right of $0$ along the
$x$-axis and place a dot at this location. This is the point is $(2, 0)$.
To locate the point $(2, −3)$, from the origin, go $2$ units to the right of 0 along the $x$-axis
and go $3$ units straight down. We plot the point by placing a dot at this location.
To locate the point $(2, 4)$, from the origin, go $2$ units to the right of $0$ along the $x$-axis
and go $4$ units straight up. We plot the point by placing a dot at this location.
To locate the point $(2, 1)$, from the origin, go $2$ units to the right of $0$ along the $x$-axis
and go $1$ unit straight up. We plot the point by placing a dot at this location.
To plot the point $(2, −1)$, from the origin,, go $2$ units to the right of $0$ along the $x$-axis
and go $1$ unit straight down. We plot the point by placing a dot at this location.
The points are on a vertical line -- that is $2$ units to the right of the $y$-axis.