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Question
Find the equation of a line making an angle of 150° with the x-axis and cutting off an intercept 2 from y-axis.
Solution
Here,
\[m = \tan {150}^\circ = - \tan {30}^\circ = - \frac{1}{\sqrt{3}}\]
and c = y-intercept = 2
Substituting the values of m and c in y = mx + c, we get,
\[y = - \frac{1}{\sqrt{3}}x + 2\]
\[ \Rightarrow x + \sqrt{3}y = 2\sqrt{3}\]
Hence, the equation of the required line is
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