On a position-time graph, the slope of the line indicates the velocity of the object. Specifically:
- A positive slope indicates that the object is moving in the positive direction (away from the origin) and the steeper the slope, the greater the speed in that direction.
- A negative slope indicates that the object is moving in the negative direction (toward the origin), and again, a steeper slope means a greater speed in that direction.
- A slope of zero indicates that the object is at rest (not moving) as the position does not change over time.
In summary, the value of the slope on a position-time graph represents the object's velocity.