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The slope of a line on a position vs. time graph would represent the a velocity of the object being described.
The line slope refers to the steepness of a line. Without any additional information, it is not possible to determine the line slope of "06 30" as it does not appear to represent a line equation or data points.
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
This varies in different fields but is usually known as a derivative.