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in the slope-intercept form y=mx+b, what does the m and the b stand for?

Question

in the slope-intercept form y=mx+b, what does the m and the b stand for?

Explanation:

Brief Explanations

In the slope - intercept form \(y = mx + b\) of a linear equation, by the definition of this form, \(m\) represents the slope of the line (the rate of change of \(y\) with respect to \(x\)) and \(b\) represents the \(y\) - intercept (the value of \(y\) when \(x = 0\), i.e., the point where the line crosses the \(y\) - axis).

Answer:

In the slope - intercept form \(y=mx + b\), \(m\) stands for the slope of the line (the rate at which \(y\) changes with respect to \(x\)) and \(b\) stands for the \(y\) - intercept (the value of \(y\) when \(x = 0\), or the point where the line intersects the \(y\) - axis).