  We present new results on the equation of state and transition line of hot
and dense strongly interacting QCD matter, obtained from a bottom-up
Einstein-Maxwell-Dilaton holographic model. We considerably expand the previous
coverage in baryon densities in this model by implementing new numerical
methods to map the holographic black hole solutions onto the QCD phase diagram.
We are also able to obtain, for the first time, the first-order phase
transition line in a wide region of the phase diagram. Comparisons with the
most recent lattice results for the QCD thermodynamics are also presented.
