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Question
Find the equation of the line parallel to x-axis and having intercept − 2 on y-axis.
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Solution
The equation of a line parallel to the x-axis is y = k.
It is given that y = k has intercept −2 on the y-axis. This means that the line y = k passes through (0, −2).
∴ −2 = k
\[\Rightarrow\] k = −2
Hence, the equation of the required line is y = −2.
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