In algebra, why is a slope represented by the letter "m"?

Question

I am trying to figure this out to get extra credit. Anyone know?

Answer 1

It comes from calculus called the mean value theorem.

Answer 2

The slope or the gradient is commonly used to describe the measurement of the steepness, incline or grade of a straight line. A higher slope value indicates a steeper incline. In normal UK usage, the gradient of a slope is defined as the ratio of the "rise" divided by the "run" between two points on a line. The term Grade is also used for this definition, which can be mathematically stated as the tangent of the angle of inclination – the ratio of the altitude change to the horizontal distance between any two points on the grade

Using calculus, one can calculate the slope of the tangent to a curve at a point.

The concept of slope, and much of this article, applies directly to grades or gradients in geography and civil engineering. In UK construction work, a slope is often called a fall, and measured as an angle, a gradient or as a ratio such as 1 in 80.

Answer 3

Selection of letters in algebra is partially arbitrary. The letters m and n are at the midpoint of the alphabet and help divide it nearly in half. The first half of the alphabet is commonly used for constants while the second half is commonly used for unknown variables. Upper case letters are often used as constants regardless of location in the alphabet; especially if the letter suggests the quantity represented (such as T for torque?). Perhaps convention recognizes and honors the original equations presented by those breaking new ground. To avoid (at least some) confusion, certain letters such as "m" are used by everyone (and text books) within a certain context. Using Greek letters for specific values (such as Pi) also avoids confusion. Authors should define any letters used in their equations when necessary to avoid confusion (especially if their work will likely be read outside their speciality). Hope that helps a little.

Answer 4

No one knows. It just is. The earliest known use of "m" for slope is from an 1844 British text by Matthew O'Brien entitled A Treatise on Plane Co-Ordinate Geometry

Answer 5

You don't have to use "m" as the slope, but you can use any letter that is not b, x, or y to avoid confusion hense the equation y = mx + b

Answer 6

It doesn't have to be. It could be a, b, c, A, L, P, whatever, as long as it isn't x or y.

Answer 7

m for math

Answer 8

call it anything..does it matter..not to me..