A straight horizontal line is a line having no steepness.
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Its steepness is the absolute value of its slope.
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
It is the slope or gradient of the line that measures its steepness.
The value of the two is the same. The slope is exactly the same as the steepness if the line goes from bottom-left to top-right and it is the negative value of the steepness if the line goes from top-left to bottom-right.
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.