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The diagram shows part of the curve \(y = \frac { 2 } { 1 - x }\) and the line \(y = 3 x + 4\). The curve and the line meet at points \(A\) and \(B\).
- Find the coordinates of \(A\) and \(B\).
- Find the length of the line \(A B\) and the coordinates of the mid-point of \(A B\).