Drag is what slows an airplane in the air. One thing that surprises many people is that when you reduce engine power, you don't actually slow down. Instead, when you pull the throttles back, the plane descends, but at basically the same speed. The real way to slow an airplane down is to increase angle of attack.
Essentially, pull the nose up, and the plane slows down. In an airplane, every control input always effects the others, so you must coordinate reducing power, increasing angle of attack, and adjusting trim.
The real job of wing flaps isn't to slow down the airplane, although they do slow you down in some cases by a whole lot. Instead, it's to keep the plane both flying and controllable once you do slow down. Every airplane's wing is designed with a certain goal in mind. In the case of a typical airliner, it's to fly really fast and high, with an eye towards fuel savings. Unfortunately, fast high-flying wings are really bad at flying low and slow. Since every successful flight ends low and slow, we need the flaps to essentially change the shape of the wing to one that will allow us to approach the runway at a safe speed. As a bonus, flaps allow us to point the nose of the airplane more downwards, giving a better view of the runway on approach.
Spoilers are almost cheating. What spoilers do is to stick up into the airflow, spoiling the lift generated by the wing, essentially making it quite inefficient. The spoilers will create some drag of their own, but really, they're making the plane descend quicker. Extending landing gear also provides more drag and helps slow the aircraft.
Once on the runway, airliners primarily use wheel brakes to decelerate after landing. Wing spoilers extend on the top of the wings which add aerodynamic drag, but they primarily kill the lift on the wings which places more weight on the wheels and improves braking. Thrust reversers are deployed on touchdown to both attenuate the thrust and to direct the thrust forward for deceleration purposes. Once the airspeed decelerates to about 60 knots, the reverse thrust is reduced to idle because that's when the possibility of the reverse exhaust flow could ingest foreign objects into the inlet of the engines.