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.
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assuming you're speaking of a horizontal line on a graph: It is because the line moves neither up or down. slope is the steepness of a line and a horizontal line isn't steep at all, it has no steepness.
If you're talking about a line on a graph the steepness would be defined as the slope. Also know as rise over run. The number of units the line rises or falls divided by the number of units it goes to the right or left
A straight horizontal line is a line having no steepness.
A straight line.
the steepness of the line is the slope of the line which is the rate of change; the steeper the slope, the faster the rate of change