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The steepness of any incline can be measured as the ratio of the vertical change to the horizontal change. For example, a 5% incline can be written as

5\100

, which means that for every 100 feet forward, the height increases 5 feet.

In mathematics, we call the incline of a line the slope and use the letter m to denote it. The vertical change is called the rise and the horizontal change is called the run.

Slope

m = vertical change by horizontal

change = t by t

The rise and the run can be positive or negative. A positive rise corresponds to a vertical change up and a negative rise corresponds to a vertical change down. A positive run denotes a horizontal change to the right and a negative run corresponds to a horizontal change to the left. Given the graph, we can calculate the slope by determining the vertical and horizontal changes between any two points.

step-by-step explanation: