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Question
Find the slope of the lines which make the following angle with the positive direction of x-axis:
\[\frac{3\pi}{4}\]
Solution
\[\theta = \frac{3\pi}{4}\]
\[\therefore \text { Slope of the line }= m = \tan\theta\]
\[ \Rightarrow \text { Slope of the line } = \tan\left( \frac{3\pi}{4} \right) = - \tan\left( \frac{\pi}{4} \right) = - 1\]
Hence, the slope of the line is \[- 1\].
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