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Microscale fluid dynamics has received intensive interest due to the extraordinary advances in electronic device miniaturization, where the peaks of temperature from hotspots must be reduced by a coolant flowing in a microchannel. One of the most meaningful microscale effects is the emergence of slip flow. The present analysis is concerned with the 2-D velocity distribution of steady-state, hydrodynamically developed, laminar slip flow, for Newtonian fluids in rectangular ducts. The solutions describing velocity profiles, friction factors, shear stresses, momentum flux, and kinetic energy correction factors are derived resorting to the integral transform technique. The results are shown as functions of the aspect ratio and the Knudsen number, in the limit of Kn 0 they reproduce perfectly the well-known results of macroscale fluid dynamics.