Option 4 represents uniform motion. Uniform motion refers to an object moving at a constant speed in a straight line. In option 4, the graph is a straight line with a constant slope, indicating a consistent speed over time.

Let`s analyze the other options to see why they do not represent uniform motion:

Option 1: This graph shows an object initially at rest, then moving at a gradually increasing speed. This does not represent uniform motion because the speed is not constant.

Option 2: This graph shows an object moving back and forth in a repetitive motion called oscillation. This does not represent uniform motion because the object`s position is changing in a non-linear manner.

Option 3: This graph shows an object moving at varying speeds. The line is not straight, indicating acceleration or deceleration. This does not represent uniform motion.

In conclusion, option 4 is the only graph that represents uniform motion because it shows a straight line, indicating a constant speed with no change in direction.