The standard form of a line equation is Ax + By = C, where A and B are not both equal to zero. To graph a line in standard form, find the x-intercept by setting y = 0 and solving for x, and find the y-intercept by setting x = 0 and solving for y. These two intercept points are then plotted and connected to graph the line. The document provides an example of finding the x-intercept (4,0) and y-intercept (0,-6) of the line 3x - 2y = 12.

1. The Standard Form of the
Equation of a Line

2. STANDARD FORM
The Standard Form of the
Equation of a Line is
Ax + By = C
where A and B are not both equal
to zero.

3. GRAPHING IN STANDARD FORM
To graph a line given in Standard
Form, find the x and y-intercepts.
Once you have these 2 points,
they can be plotted, and
connected to graph the line.

4. Finding Intercepts
The x-intercept is where the line
crosses the x-axis.
 To find the x-intercept, let y = 0 and solve for x.
The y-intercept is where the line
crosses the y-axis.
 To find the y-intercept, let x = 0 and solve for y.

5. Find the x and y-intercepts for the line 3x
- 2y = 12.
To find the x-intercept, let y = 0 and solve for
x.
3x - 2(0) = 12
3x = 12
x = 4
The x-intercept is the point (4, 0).

6. Find the x and y-intercepts for the line 3x
- 2y = 12.
To find the y-intercept, let x = 0 and
solve for y.
3(0) - 2y = 12
-2y = 12
y = -6
The y-intercept is the point (0, -6).

7. Find the x and y-intercepts for the line 3x
- 2y = 12.