The discussion centers on the use of point-slope form and slope-intercept form in linear equations, specifically the notation of slope as $m$ and y-intercept as $b$. Participants highlight that while $m$ is commonly used for slope, alternative notations like $k$ are prevalent in different regions, such as Russia. The point-slope form is expressed as y - b = s(x - a), where (a, b) are the coordinates of a specific point. This flexibility in notation underscores the importance of understanding the underlying concepts rather than fixating on variable names.
PREREQUISITESStudents, educators, and anyone interested in mastering linear equations and their various forms, particularly in algebra and geometry contexts.
Because $m$ is the slope and $b$ is the $y$-intercept.RTCNTC said:Why is y = mx + b called the slope-intercept form?
If you mean the variable names $m$ and $b$, they are such only in some circles. In Russia, for example, it is customary to denote the slope by $k$, though the intercept is still often denoted by $b$. You are free to call than any names, such as $y=\xi x+\aleph$.RTCNTC said:Why is m the chosen variable for slope?
Why is b the chosen variable representing the y-intercept?
This makes sense.RTCNTC said:I like s for slope.