How does the Perpendicular Slope work?

If slope of line 1 is m, perpendicular slope = −1/m Then: Product of perpendicular slopes = −1 Then: Horizontal line (m=0) ⊥ vertical line (undefined slope) Then: Two non-vertical lines are perpendicular iff m₁ × m₂ = −1.

Can you give an example of how to use the Perpendicular Slope?

Example: Input m = 2 gives a result of Perpendicular slope = −½.

Is the Perpendicular Slope free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Perpendicular Slope?

Our Perpendicular Slope uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

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Perpendicular Slope

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Original Slope (m)

Perpendicular slope = −1/m. Product of perpendicular slopes = −1.

Two lines are perpendicular if they meet at right angles (90°). The slope of a line perpendicular to a line with slope m is −1/m. This is used in geometry, navigation, and engineering.

Symbol	Name	Unit	Description
m₁	slope of original line	—	—
m₂	slope of perpendicular line	—	m₂ = −1/m₁

Original Slope m	Perpendicular −1/m
1	−1
2	−0.5
3	−0.333
−2	0.5
0.5	−2
−0.25	4

References

›Perpendicular lines — Khan Academy

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