The angle between two lines is $\large\frac{\pi}{4}$ and the slope of one of them is $\large\frac{1}{4}$ and other is $x$.Find the value of $x$.

Question

$\begin{array}{1 1}(a)\;\large\frac{-3}{5},\large\frac{5}{3}&(b)\;\large\frac{3}{5},\frac{-5}{3}\\(c)\;\large\frac{4}{3},\frac{2}{3}&(d)\;\large\frac{7}{3},\frac{3}{5}\end{array}$