Slope is the tangent of the angle between a given straight line and the x-axis of a system of Cartesian coordinates.
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It is not documented why the letter m was chosen for slope. However, mathematician John Conway suggested that m could mean 'modulus of slope'.
In slope intercept form, m IS the slope. y = mx + b slope is change in height divided by change in x direction.
y=mx has a slope of m, if the slope is 0, m must be 0. So the coefficient of x is 0.
Slope intercept is an equation of the form y=mx+b where m is the slope and b is the y-intercept.
If you mean: y = mx+b then the slope of the line is m and the y intercept is b