The aim of this paper is to investigate the influence of visco-elasticity on steady, two-dimensional flow of an electrically conducting visco-elastic fluid past an inclined surface through a porous medium. The effect of chemical reaction with constant heat and mass flux is also considered into account. The flow is subjected to an external uniform magnetic field normal to the direction of flow. The differential model is termed as second-grade fluid which follows from generalized Rivlin-Ericksen's fluid. Analytical solutions to the coupled non-linear equations governing the flow are obtained by using regular perturbation technique. The expressions for velocity field, temperature field, concentration field, Shearing stress at the plate are derived analytically. The rate of heat transfer and rate of mass transfer in terms of Nusselt number and Sherwood number are also obtained in non-dimensional forms. The results are discussed graphically in possible cases for various combinations of physical parameters. The relevancy of this work has been noticed in the fields of chemical engineering and geophysical applications.