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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
the rate of change on the line.
Rate can be the slope of a line when some variables are graphed. Ex: When graphing distance vs time for a moving object the slope of the line is the rate.
the rate of change is related to the slope; the higher the slope, the higher the rate. If the line is vertical, that is infinite slope or infinite rate of change which is not possible