Hi 1231ChaseB,
Take a look under the slide to see if there's an electrical junction box. If there's 110V already there, you could use a surface mount outlet with wire guide and tie into the existing box. If no box, you'd have to run wiring from the circuit breaker panel, through the underbelly, to a new junction box on the bottom of the slide. You'll have to use some type of articulating protective wrap where the wiring comes out of the frame and into the box. Study the wiring on the other slide for how its done.