Why is the letter m used for slope instead of s?

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SUMMARY

The letter "m" is conventionally used to represent slope in mathematics, particularly in linear equations, despite the intuitive appeal of using "s" for slope. This convention likely stems from historical usage in mathematics, where "m" was derived from the French word "monter," meaning "to rise." The discussion highlights the lack of definitive sources explaining this choice, indicating that it is more a matter of tradition than logic.

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mathdad
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Why is the lower case letter m used to represent slope?

Doesn't it make more sense to use the letter s to represent slope, you know, s for slope?
 
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In Calculus, "s" usually denotes curve length, at least as I am familiar with it. A quick web search fails to turn up any specific reason as to why slope is denoted "m".
 
http://mathhelpboards.com/pre-calculus-21/letter-m-slope-20683.html

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I forgot that I had already asked this question back in February 2017.
 

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