We present the elements of the approach to SLE via Quantum Gravity. The standard KPZ map is extended by duality to a map which commutes with the duality properties of the SLE(kappa) process. Quantum gravity equivalences between random paths in the standard plane are derived in this way, with applications to the SLE(kappa, rho) process, to contact exponents between paths, and to hiding exponents for Brownian paths and selfavoiding walks.