Point-Slope Form

Overview

Goal. Write the equation of a line in point-slope form using one point and the slope, and convert point-slope form into slope-intercept form.

Point-slope form (definition). The form y − y1 = m(x − x1), where m is the slope of the line and (x1, y1) is a point on the line.

y − y1 = m(x − x1): one point, one slope, then convert.

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Goal. Write a line's equation in point-slope form from a point and a slope, and convert it to slope-intercept form.

Point-slope form (definition). y − y1 = m(x − x1), where m is the slope and (x1, y1) is a point on the line.