This varies in different fields but is usually known as a derivative.
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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
A single value for x and a single value for y represent a point, not a line. A point cannot have a slope.