Final answer:
Yes, a line on a position-time graph can have a negative slope because it represents the object's velocity and direction of motion.
Step-by-step explanation:
Yes, a line on a position-time graph can have a negative slope. The slope of a position-time graph represents the object's velocity. If the line has a negative slope, it means the object is moving in the negative direction, such as moving backwards or decelerating.
For example, if an object starts at position 10 and moves to position 5 in a time period of 2 seconds, the slope of the line connecting these two points would be -2.5, indicating that the object is moving in the negative direction at a rate of 2.5 units per second.
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