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.
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Assuming it is a spped v/s time graph, a horizontal line represents motion at a constant speed.
yes
It means that the object in question is moving at a constant speed.If the graph is a straight horizontal line, then the speed is zero.
constant speed
A horizontal line on a speed vs time graph indicates constant speed.