6.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{e116a86f-63e0-4e80-b49c-d9f3c819ce15-12_680_677_246_696}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows a sketch of the graph with equation
$$y = 3 | x - 2 | + 5$$
The vertex of the graph is at the point \(P\), shown in Figure 1.
- Find the coordinates of \(P\).
- Solve the equation
$$16 - 4 x = 3 | x - 2 | + 5$$
A line \(l\) has equation \(y = k x + 4\) where \(k\) is a constant.
Given that \(l\) intersects \(y = 3 | x - 2 | + 5\) at 2 distinct points, - find the range of values of \(k\).