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Question
Find the slope of the lines which make the following angle with the positive direction of x-axis:
\[\frac{2\pi}{3}\]
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Solution
\[\theta = \frac{2\pi}{3}\]
\[\therefore \text { Slope of the line } = m = \tan\theta\]
\[ \Rightarrow \text { Slope of the line }= \tan\left( \frac{2\pi}{3} \right) = - \tan\left( \frac{\pi}{3} \right) = - \sqrt{3}\]
Hence, the slope of the line is \[- \sqrt{3}\].
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