The slope on a PT graph has a phrase we repeat over and over for emphasis: SLOPE =
• DISPLACEMENT
• DISTANCE
SPEED
• VELOCITY
SLOPE = VELOCITY
This means that the slope of a position-time graph represents the velocity of an object. It is the rate of change of displacement with respect to time, indicating how fast an object is moving and in what direction. So, the steeper the slope, the faster the object is moving.