Question

Find the equation of the line perpendicular to x-axis and having intercept − 2 on x-axis.

Answer 1

The equation of the line perpendicular to the x-axis is x = k.

It is given that x = k has intercept −2 on the x-axis. This means that the line x = k passes through (−2, 0).

∴ −2 = k
$\Rightarrow$ k = −2

Hence, the equation of the line that is perpendicular to the x-axis and has intercept − 2 on the x-axis is x = −2.