Question

State True or False:
The line $x=4$ is parallel to $y$-axis.

Answer 1

The line $x=4$, has $x$-coordinate constant i.e. $4$ at any point.

So, any point lieying on this line will be of the form $(4,y)$ and it is perpendicular to $x$-axis.

As, both coordinate axes are perpendicular to each other implies $y$-axis is perpendicular to $x$-axis.

Thus, the line $x=4$ is parallel to $y$-axis.

Hence, the given statement is true.