数学

Slope Calculator

Point 1

x₁

y₁

Point 2

x₂

y₂

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We're working on a comprehensive educational guide for the Slope Calculator in your language. The content below is shown in English.

是什么 Slope Calculator?

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The slope (gradient) of a line measures its steepness. In coordinate geometry, slope = rise/run — how much y changes per unit of x. It is the foundation of linear functions, derivatives in calculus, and regression in statistics.

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公式

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f(x)m = (y₂ − y₁) / (x₂ − x₁)

变量说明

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符号	名称	单位	描述
m	(y₂ − y₁) / (x₂ − x₁)	—	(y₂ − y₁) / (x₂ − x₁)

如何 Slope Calculator

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1m = (y₂ − y₁) / (x₂ − x₁)
2Positive m: line rises left to right
3Negative m: line falls left to right
4Perpendicular lines: slopes multiply to −1 (m₂ = −1/m₁)
5Parallel lines have equal slopes

例题解析

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示例 1

已知:Points (0,3) and (4,7)

结果:Slope = 1

(7−3)/(4−0) = 4/4 = 1. 45° line.

示例 2

已知:Points (1,6) and (5,2)

结果:Slope = −1

(2−6)/(5−1) = −4/4 = −1. Descending 45°.

实际应用

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Academic homework and exam preparation

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Engineering and architecture calculations

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Everyday measurement tasks around the home

常见问题

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What is Slope?

The slope (gradient) of a line measures its steepness. In coordinate geometry, slope = rise/run — how much y changes per unit of x

How accurate is the Slope calculator?

The calculator uses the standard published formula for slope. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

What units does the Slope calculator use?

This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.

What formula does the Slope calculator use?

The core formula is: m = (y₂ − y₁) / (x₂ − x₁). Each step in the calculation is shown so you can verify the result manually.

参考资料

›Khan Academy — Slope

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Reviewed October 2026

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Slope Calculator