The slope is the acceleration.
Acceleration is the time derivative of velocity.
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The graph you described is a speed-time plot. If the line is horizontal, that indicates no change in speed over time. In other words, there is no acceleration (acceleration is zero), since there is no change in speed.
Acceleration is indicated on a speed/time graph.
Constant speed ... zero acceleration.
Acceleration
No. The slope on a speed vs time graph tells the acceleration.