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The effect of the Maguejo-Smolin (MS) transformations on a straight line inthe energy- momentum space will be studied. We will interpret the slope of thisline as velocity $dE/dp$, which can leads to addition rule for the velocitiesin the MS doubly special relativity (DSR) case. Relation between twoexpressions $dE/dp$ and $p/E$ for velocity in the momentum space will beinvestigated more and the energy dependency of the velocities in the DSRtheories is related to the geometrical properties of the lines under DSRtransformations. The images of two parallel lines under the MS transformationswill be studied and we will compute crossing point of these lines under the MStransformations in the energy-momentum space. The linear-fractionaltransformations don't keep parallelism.  The crossing point is on a line in the energy-momentum space with a constantmomentum $E_p/c$.

Images of the lines under the MS transformations and the Concept of Velocity in the DSR theories