This article was co-authored by Grace Imson, MA. Grace Imson is a math teacher with over 40 years of teaching experience. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. She has taught math at the elementary, middle, high school, and college levels. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University.
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Slope intercept form is a common way to represent a linear equation. Slope intercept form is written in the form of y = m x + b [1] X Research source — where the letters are to be filled in or solved, such as: x and y values represent the x and y coordinates of a line, m represents the slope, called "rate of change", the ratio m = Δ y Δ x = y 2 − y 1 x 2 − x 1 >=>> ( Δ = delta = change in), and b represents the y-intercept (where the line crosses the y-axis). The beauty of slope-intercept or y = mx + b form is that it makes graphing a line very quick and easy. All you have to do is use its slope and y-intercept. We'll show you how!