Motion at a constant speed - no acceleration or deceleration.
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The steepness of the line on a distance-time graph represents the radial speed of the object. That is, the speed with which the object is moving towards or away from the origin. The steepness takes absolutely no account of the transverse speed, so you can be going around the origin in a circle at a great speed but, since your distance remains the same, the D-T graph will be flat: implying speed = 0.
A horizontal line on a speed vs time graph indicates constant speed.
Line graph.
A straight line.
If its slanted up its accelerating, if down its decelerating.