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