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m=change in x-valuechange in y-value
The phrase rise over run
is commonly used to describe the slope of a line, especially when the line is given graphically. Rise
refers to change in y-value and run
refers to change in x-value. The right triangle used to visualize the rise and run between two points on the graph of a line is called slope triangle.
The definition of the slope of a line can be written in terms of its rise over its run.
m=runrise