The current research paper aims to investigate the Maxwell fluid flow over a flat plate under slip conditions and suction/injection parameters. Radiation, velocity slip conditions, and heat generation are also considered for this study. The governing equations are changed into ordinary differential equations with the appropriate similarity transformations. Then these equations are answered using the shooting technique and the Runge-Kutta 4th-order method. The impact of Deborah number (De), suction/ injection (fw), thermal radiation (Rd), viscous dissipation (Ec), velocity slip parameter (λ) and heat generation (Q) are displayed through graphs and tables. The main target of this investigation is to discuss the impact of the Nusselt number profile for the suction parameter (fw) against momentum slip (λ), thermal slip conditions (β) and radiation parameter. Skin friction profile for suction parameter also discussed against Maxwell fluid parameter (De). Numerical findings are compared to previously published research using bvp4c in MATLAB programme. The critical solutions of this study are that the Nusselt number outline increased for increasing the value of momentum slip, radiation parameter and thermal slip conditions. Still, it got decreases for viscous dissipation (Ec) against radiation. Skin friction profile decreased for increasing value of suction parameter against Deborah number.