5. A curve has the following properties:
- The gradient of the curve is given by \(\frac { \mathrm { d } y } { \mathrm {~d} x } = - 2 x\).
- The curve passes through the point \(( 4 , - 13 )\).
Determine the coordinates of the points where the curve meets the line \(y = 2 x\).
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