Find the slope of the line that passes through the origin making an angle of \( \frac{6 \pi }{7} \) with the x-axis. Leave answer in exact form.

\( m = \frac{\Delta y}{\Delta x} = \frac { \sin \left ( \frac{6 \pi }{7} \right )}{ \cos \left ( \frac{6 \pi }{7} \right )} = \tan \left ( \frac{6 \pi}{7} \right ) \)