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No one knows for sure, but this is an assortment of ideas I have heard. One idea is that the first letter for the Greek word for slope is m, but no one knows if there is any correlation between the two. Another idea is that the French word for slope (monter) starts with a m, but it is not proven that there is a relationship (again). Another idea is that the old word for slope was modulus of slope (modulus being used in the sense of "number used to measure"), and the m was carried over. Yet another idea I have heard is there is no real reason.

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15y ago

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Q: Why does slope always equal M?
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