6. The curve \(C\) has equation \(y = \frac { 4 } { x } + k\), where \(k\) is a positive constant.
- Sketch a graph of \(C\), stating the equation of the horizontal asymptote and the coordinates of the point of intersection with the \(x\)-axis.
The line with equation \(y = 10 - 2 x\) is a tangent to \(C\).
- Find the possible values for \(k\).
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