6. Given that \(k\) is a positive constant,
- on separate diagrams, sketch the graph with equation
- \(y = k - 2 | x |\)
- \(y = \left| 2 x - \frac { k } { 3 } \right|\)
Show on each sketch the coordinates, in terms of \(k\), of each point where the graph meets or cuts the axes.
- Hence find, in terms of \(k\), the values of \(x\) for which
$$\left| 2 x - \frac { k } { 3 } \right| = k - 2 | x |$$
giving your answers in simplest form.
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