# Two Points to Linear Equations

- Author:
- Dr. Doug Davis, 3D

Two points define a line and a line can be represented as a linear equation in several forms.

- The Point-Slope form
- The Slope-Intercept form
- The General Form

## Activities

After stepping through the steps. Move the points to the following values and note the line and the equations:
A = (0,0), B = (4,2)
A = (0,0), B = (4,-2)
A = (0,0), B = (2,2)
A = (-2,-2), B = (4,4)
A = (-2,2), B = (2,2)
A = ( 2,-2), B = (2,2)
What is the advantage of the general form?
Is the specific equation for the general form unique?
Can you multiply and equation by a number and still have an equivalent linear equation?
Given the slope and intercept could you draw the line representing the linear equation?