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