The slope of a distance-time graph represents speed.
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instantaneous magnitude of velocity
The slope of the curve at each point on thegraph is the speed at that point in time. (Not velocity.)
The speed. Also, if a positive slope represents the speed in one direction, the negative slope is the speed in the opposite direction.
The slope of a line on a position vs. time graph would represent the a velocity of the object being described.
The slope of the speed/time graph is the magnitude of acceleration. (It's very difficult to draw a graph of velocity, unless the direction is constant.)