The run, combined with the rise (the distance in units up) creates the slope of a line. In the slope 5/3 , 5 is the rise and 3 is the run, meaning that to find the next point on the line you would first move up five units, then go to the right 3 units.
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The run in the distance between two horizontal points.
The rise is the distance between two vertical points.
The slope = rise/run.