Here is the correct matching of the key words with their definitions:
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Rate of change: The measure of how much a dependent variable y changes for a given change in the independent variable x. If the graph of the function is a straight line, this equals the slope of the line.
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Slope: A measure of the steepness of a line. This equals rise divided by run for any two points on the line. A line that rises from left to right has a positive slope. A line that falls from left to right has a negative slope.
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Rise: The vertical distance between two points on a line. It equals the difference between the y-coordinates of the two points.
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Run: The horizontal distance between two points on a line. It equals the difference between the x-coordinates of the two points.