39. Exemplar Exercise Problem XVIII

The line segment joining the points \(A \left(  3,2 \right)\) and \(B ( 5, 1 )\) is divides at the point \(P\) in the ratio \( 1:2 \), and it lies on the line \(3x-18y +k =0\). Find the value of \(k\).

 

 

The value of k is .