The slope of the line touching both the parabolas $\;y^{2}=4x\;$ and $\;x^{2}=-32y\;$ is :

Question

$(a)\;\large\frac{1}{8}\qquad(b)\;\large\frac{2}{3}\qquad(c)\;\large\frac{1}{2}\qquad(d)\;\large\frac{3}{2}$