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{{ printedBook.courseTrack.name }} {{ printedBook.name }} $m=ΔxΔy $

The phrase rise and run

is sometimes used to describe the slope of a line, especially when the line is given graphically. Rise corresponds to $Δy$ and run corresponds to $Δx.$

With this information, the definition of the slope of a line can be written in terms of *rise* and *run.*

$m=ΔxΔy =runrise $

The sign of each distance corresponds to the direction of the movement between the points. Moving to the right, the run is positive. Conversely, moving to the left, the run is negative. Similarly, moving up yields a positive rise while moving down gives a negative rise.