<p>The study of hybrid nanofluids, which is obtained by combination of two or more kinds of nanoparticles, has opened new pathways for improving transfer of heat and flow characteristics in different engineering and technological applications. These advanced fluids demonstrate better thermal conductivity and heat transfer characteristics contrary to conventional nanofluids, hence hybrid nanofluids are highly relevant in fields such as solar energy especially in thermal energy storage, aerospace technology, ventilation, heating, electronic cooling in refrigeration, medical technologies especially in cancer treatment, and defence systems. This investigation focuses on the flow and thermal behaviour of Maxwell hybrid nanofluid which is electrically conducting and including nanoparticles as copper and graphene in a linearly stretched sheet under velocity slip conditions. The system is further complicated by the application of an non steady magnetic field inclined at an angle to the flow direction, adding a layer of complexity to the magnetic and thermal interactions. Key features of this research include the consideration of thermal radiation, heat absorption, viscous dissipation, and Joule heating, which significantly influence the thermal and flow characteristics of the hybrid nanofluid. Through similarity transformations, the governing equations for momentum and energy have been reduced to a system of non-dimensional coupled differential equations, which are further solved using the optimal homotopy analysis method (OHAM). Additionally, statistical multiple quadratic regression estimation analysis has been performed to analyze the relationships between physical parameters, wall temperature gradients and skin friction coefficients. The findings reveal that parameters such as the Maxwell fluid parameter, velocity slip, and porous medium permeability significantly influence the temperature profile and velocity profile of the hybrid nanofluid. Noteworthy observations include an increase in temperature with rising in inclination of magnetic field, Biot number, radiation, unsteadiness and viscous dissipation, whereas heat absorption has a cooling effect. The results contribute to the significant findings into the sensitivity of heat transfer to thermal radiation and viscous dissipation, contributing to the advancement of hybrid nanofluid research. This work stands out as a novel contribution, particularly in exploring the combined effects of hybrid Maxwell nanofluidss.</p>