## slope

### In mathematics, slope refers to the measure of the steepness or incline of a line

In mathematics, slope refers to the measure of the steepness or incline of a line. It quantifies how much a line rises or falls as it moves horizontally from left to right. The slope is often denoted by the letter “m” and can be calculated using the formula:

m = (change in y-coordinates)/(change in x-coordinates)

Alternatively, it can be determined by looking at the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line.

A positive slope indicates that the line moves upward from left to right, while a negative slope indicates a downward movement. A slope of zero corresponds to a horizontal line, where there is no vertical change. If two lines have the same slope, they are considered to be parallel.

Slope is a fundamental concept in algebra and geometry, as it is used to analyze the properties of lines, predict trends in data, and solve equations involving linear relationships. It has various applications in real-world scenarios, such as calculating rates of change, determining gradients in physics, or estimating trends in economics.

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