5. Find the coodinate points and the value of 'k'

Point \(P\) divides the line segment joining the points \(A(1, 3)\) and \(B(9, 7)\) such that \(\frac{AP}{PB} = \frac{1}{3}\). If \(P\) lies on the lines \(3x - 2y + k =0\). Evaluate the value of \(k\).

 

The coordinate of \(P\) is $(i,i)$

 

The value of \(k\) is $i$