A time line measures time, however, some other variable might also be changing as the timeline changes. Distance can change as time changes but the timeline indicates time. Distance could be inferred.
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A straight line on a distance - time graph represents a "constant velocity".
Time = (distance) divided by (speed) Distance = (speed) multiplied by (time) Speed = (distance) divided by (time)
if the speed is zero then the distance versus time line will be horizontal
The curved line on a time vs. distance graph represents that the object is accelerating.
Diagonal line