Algebra 1 · Linear Functions
Point-Slope Form
Algebra 1 · Linear Functions
Definition
Point-slope form is the linear equation y - y1 = m(x - x1), built from a point (x1, y1) and slope m.
Examples
- Through (2, 3) with slope 4: y - 3 = 4(x - 2).
- Through (0, 1) with slope -2: y - 1 = -2(x - 0).
Key rule
Plug the point and slope straight into the formula.
Memory hook
Point-slope: a point plus a slope builds the line.