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No. It shows zero speed. Velocity is distance/unit time. The slope of the line shows change in distance / change in time. Since distance never changes as time changes, the change in distance is zero. Alternatively, the slope of a horizontal line is zero. If zero speed is considered "constant", then yes, it does show constant speed but the speed is zero.
if the speed is zero then the distance versus time line will be horizontal
For motion at constant speed along a straight line, the acceleration is zero.
Constant speed. Zero acceleration.
A horizontal line has a slope of zero. The equation of a horizontal line is y = a.