The PHENIX collaboration presents first measurements of low-momentum (0.41āāGeV/c) direct-photon yield dN_{Ī³}^{dir}/dĪ· is a smooth function of dN_{ch}/dĪ· and can be well described as proportional to (dN_{ch}/dĪ·)^{Ī±} with Ī±ā1.25. This scaling behavior holds for a wide range of beam energies at the Relativistic Heavy Ion Collider and the Large Hadron Collider, for centrality selected samples, as well as for different A+A collision systems. At a given beam energy, the scaling also holds for high p_{T} (>5āāGeV/c), but when results from different collision energies are compared, an additional sqrt[s_{NN}]-dependent multiplicative factor is needed to describe the integrated-direct-photon yield.