If P = \(\begin {pmatrix} 2 & 3\\ -4 & 1 \end {pmatrix}\), Q = \(\begin{pmatrix} 6 \\ 8 \end {pmatrix}\) and PQ = k \(\begin {pmatrix} 45\\ -20 \end {pmatrix}\). Find the value of k.
A. -\(\frac{5}{4}\) B. -\(\frac{4}{5}\) C. \(\frac{4}{5}\) D. \(\frac{5}{4}\)