6.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{099016ad-e742-4679-9669-47dcd1d9cc5f-08_915_1132_214_397}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows a sketch of the curve with equation \(y = \frac { 2 } { x } , x \neq 0\)
The curve \(C\) has equation \(y = \frac { 2 } { x } - 5 , x \neq 0\), and the line \(l\) has equation \(y = 4 x + 2\)
- Sketch and clearly label the graphs of \(C\) and \(l\) on a single diagram.
On your diagram, show clearly the coordinates of the points where \(C\) and \(l\) cross the coordinate axes.
- Write down the equations of the asymptotes of the curve \(C\).
- Find the coordinates of the points of intersection of \(y = \frac { 2 } { x } - 5\) and \(y = 4 x + 2\)