如何计算Slope

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The slope of a line measures its steepness — how much y changes for each unit increase in x. Slope is fundamental to coordinate geometry, calculus, statistics (linear regression), and everyday applications like road gradients.

公式

Slope m = (y₂ − y₁) / (x₂ − x₁)

m: (y₂ − y₁) / (x₂ − x₁) — (y₂ − y₁) / (x₂ − x₁)

分步指南

1Slope m = (y₂ − y₁) / (x₂ − x₁)
2Positive slope: line rises from left to right
3Negative slope: line falls from left to right
4Zero slope: horizontal line
5Undefined slope: vertical line (x₁ = x₂)

例题解析

输入

Points (0,0) and (3,6)

结果

Slope = 2

(6−0)/(3−0) = 2. For every 1 step right, go 2 up

输入

Points (1,5) and (4,2)

结果

Slope = −1

(2−5)/(4−1) = −3/3 = −1. Line falls at 45°

常见问题

What is Slope Calc?

How accurate is the Slope Calc calculator?

The calculator uses the standard published formula for slope calc. 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 Calc 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 Calc calculator use?

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

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