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Slope - Wikipedia, the free encyclopedia
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Slope
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This article is about the mathematical term. For other uses, see

Slope (disambiguation).
For the grade (incline or gradient or pitch or slope) of any physical feature, see

Grade (slope).

The slope of a line in the plane is defined as the rise over the run, m = ?y/?x.
In

mathematics, the slope or gradient of a

line describes its steepness, incline, or grade. A higher slope value indicates a steeper incline.
The slope is (in the simplest of terms) the measurement of a line, and is defined as the ratio of the "rise" divided by the "run" between two points on a line, or in other words, the ratio of the altitude change to the horizontal distance between any two points on the line. Given two points (x1,y1) and (x2,y2) on a line, the slope m of the line is
Through

differential calculus, one can calculate the slope of the

tangent line to a

curve at a point.
The concept of slope applies directly to

grades or

gradients in

geography and

civil engineering. Through

trigonometry, the grade m of a road is related to its angle of incline ? by

## Contents

## Definition

Slope illustrated for y = (3/2)x ? 1. Click on to enlarge
The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct poi...

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