A production function is said to be homothetic if it is homogeneous and the slope of an isoquant...

A production function is said to be homothetic if it is homogeneous and the slope of an isoquant (-q_{L}/q_{K}) is the same at the point (L^{0}, K_{0}) and (kL, kK^{0}) where k > 0. Show that the Cobb-Douglas function q = A^{α}Kf^{ß} is homothetic.