Question

Find the equation of the line passing through $$(2, 4)$$ and perpendicular to $$x$$-axis. 

[Hint: Required line is parallel to $$y$$-axis.]

Answer 1

A line perpendicular to the $$x$$-axis is parallel to the $$y$$-axis. The general equation of a line parallel to the $$y$$-axis is $$x = a$$.

Since this line passes through $$(2, 4)$$, the value of $$x$$ is fixed at $$2$$:

$$x = 2$$ or $$x - 2 = 0$$