Writing and Graphing Equations in Point-Slope Form
Concept

Point-Slope Form

A linear equation with slope through the point is written in the point-slope form if it has the following form.

In this point-slope equation, represents a specific point on the line, and represents any point also on the line. Graphically, this means that the line passes through the point

graph of a line in point-slope form

It is worth mentioning that the point-slope form can only be written for non-vertical lines.

Why

Derivation of the Formula
The point-slope form can be derived by using the Slope Formula. To do so, — which represents any point on the line — is substituted for into the formula.
Exercises