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The answer depends on what is plotted on the graph and what is happening with the acceleration then.
It looks pretty awesome I tell you what
curve
That kind of depends on what is being graphed. -- On a graph of acceleration vs time, the graph is a straight line that lays right on top of the x-axis, because the acceleration is a constant zero. -- On a graph of speed vs time, constant speed is a horizontal line, parallel to the x-axis. -- On a graph of distance vs time, constant speed is a straight line with a positive slope; that is, it rises as it progresses toward the right.
In a velocity-time graph it will be the time axis (where velocity = 0). On a distance-time graph it will be a line parallel to the time axis: distance = some constant (which may be 0).