Understanding Slope: The fundamental concept for Algebra, Geometry, and Calculus.

slope

The rate of change between any two points on a line. The ratio of the rise, or vertical change, to the run, or horizontal change

Slope is a mathematical concept that measures the steepness or inclination of a line. It is defined as the ratio of the change in the y-coordinate to the change in the x-coordinate between two points on the line. This is often represented as rise over run, where the rise is the change in the y-coordinate and the run is the change in the x-coordinate. In mathematical notation, the slope is denoted by the letter m. A slope of zero indicates a horizontal line, while a slope of infinity represents a vertical line. The slope can be positive or negative depending on whether the line is going up or down to the right. The slope is a fundamental concept in algebra, geometry, and calculus, and is used extensively in many areas of science, engineering, and finance.

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