If \(A\) and \(B\) are \((2, 3)\) and \((8,9)\), respectively, evaluate the coordinates of \(P\) such that \(AP =\frac{1}{4}AB\) and \(P\) lies on the line segment \(AB\).
\(P\)\(=\)
Answer variants:
\(\left(\frac{-2}{7},\frac{-20}{7}\right)\)
\(\left(\frac{7}{2},\frac{9}{2}\right)\)
\(\left(\frac{4}{3},\frac{11}{3}\right)\)
\(\left(\frac{2}{11},\frac{17}{2}\right)\)