In the context of physics, uniform motion refers to motion in a straight line at a constant speed. This type of movement is best represented graphically by a straight line in a distance-time graph.

Option I, II, and III would not correctly represent uniform motion because they don`t show a straight line, indicating that the speed is not constant. The graph in these cases would be either curved or inclined at different angles, signifying an increase or decrease in speed.

Option IV represents a straight line in the distance-time graph, which means the object travels equal distances in equal intervals of time, demonstrating uniform motion. Hence, the correct answer is indeed option 4.

Remember, in uniform motion, the object will cover the same distance in the same time, which is revealed by a straight line in a distance-time graph.