The direction of friction on the rear wheel of a bicycle moving down an incline depends on whether the cyclist is pedaling or not. When pedaling, friction acts forward because the bottom of the tire tries to slip backward relative to the road, while the road exerts a forward force. Conversely, when not pedaling, a small backward force from the road acts on the bottom of the tire due to frictional torque opposing the wheel's rotation. This discussion highlights the nuances of friction, emphasizing that it opposes relative motion between surfaces rather than simply opposing motion itself. Understanding these dynamics is crucial for grasping how bicycles interact with inclined surfaces.