Y= mx+b is called slope intercept form. The "m" stands for the slope and the "b" stands for the y-intercept.
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y = 2x + 1.
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The equation of a line written in slope intercept form has the form of y = mx + b. In this form, m is the slope of the line and b is the y intercept.
To be able to write the equation of a line in standard form. In particular, our book would not have cleared the fraction.