What is the meaning of M (slope) and b (y-intercept) in math?

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SUMMARY

The discussion clarifies the meanings of M (slope) and b (y-intercept) in the context of linear equations. M represents the rate of change in a linear function, while b denotes the point where the line intersects the y-axis. The historical context of these symbols is debated, with suggestions that they should connect to the origins of algebra rather than English meanings. Resources such as Math Forum and geometry-related pages provide additional insights into the terminology.

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  • Understanding of linear equations and their components
  • Familiarity with algebraic terminology
  • Basic knowledge of graphing functions
  • Awareness of the historical context of mathematical symbols
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  • Research the historical origins of algebraic symbols
  • Explore the significance of slope and y-intercept in real-world applications
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Students, educators, and anyone interested in deepening their understanding of algebraic concepts and the historical significance of mathematical notation.

Euphoriet
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I always thought the M stood for something like meta which was like greek for change or something.. but I am not sure that is right =-/


Can someone also refresh my memory regarding the meaning of b in the y intercept fomula?.. why did they decide to set it to be.. I think there is a reason for it.
 
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thanks.. it sucks no one really knows though... and besides.. why are they connecting it to english meanings.. wouldn't it be more efficient if it were connected to the languages where algebra started?... if its algebra wouldn't it make more sense if it was compared to arabian words?
 
Here is another page that discusses the earliest uses of the symbol m for slope:

http://members.aol.com/jeff570/geometry.html

Scroll down to the part labeled 'Slope.'
 
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