In this article, the impact of hybrid nanoparticles on different physical quantities in a Cu-Fe3O4/ethylene glycol-based hybrid nanofluid is associated with a steady and fully developed natural convective flow over a stretching surface. The investigation's significant results are that the ferrous oxide/ethylene glycol-based hybrid nanofluid enlarged with partial slip parameter undermines the tangential velocity and liquid suction. It causes a minute radial velocity along with temperature distribution through a stretching surface. The analysis is presented in dimensionless form. The transformed equations are solved numerically using Fourth order R-K Fehlberg with shooting technique. It is a phenomenon found in a mixture of mobile particles that exhibit specific responses to temperature strength. The particle moves to the hot clod region in thermal diffusion; then it is called ’‘positive'; otherwise, it is called ’‘negative'. The consequences of this investigation are of significance with evaluating the impact of some essential design parameters on heat transfer and, therefore, in the enhancement of industrial processes.