Slope: Why Is The Slope Of A Horizontal Line 0?

Horizontal line slope

zero

The slope of a horizontal line is 0. This is because a horizontal line has the same y-coordinate for every point along it. Therefore, the change in y (the rise) is always zero. The formula for slope is rise over run; since the rise is zero, the slope becomes zero.

For example, in the graph below, the line AB is a horizontal line with equation y = 2. Any two points on this line will have the same y-coordinate of 2, so the rise will always be 0. Therefore, the slope of line AB is 0.

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A B

y-axis x-axis
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More Answers:
Master The Average Rate Of Change Formula For Calculus, Economics, And Physics With Our Simple Guide
Calculus: Estimating Slopes With Secant Lines And Its Relation To Tangent Lines.
Slope: Why A Vertical Line Has An Undefined Slope In Mathematics

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