The line segment joining the points \( A(2,1) \) and \( B(5,-8) \) ...

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The line segment joining the points \( A(2,1) \) and \( B(5,-8) \) is trisected at the points \( P \) and \( Q \) such that \( P \) is nearer to \( A \). If \( P \) also lies on the line given by \( 2 x-y+k=0 \), then find the value of \( k \).
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