slope as unit rate

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The slope of a line is the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line. It is also known as the unit rate, which represents the rate of change of one quantity with respect to another quantity.

For example, if the slope of a line is 2/3, it means that for every 2 units of vertical change, there are 3 units of horizontal change. This can be interpreted as a unit rate of 2 units of rise for every 3 units of run.