1. Standard Form I can identify intercepts from an equation.
I can graph an equation in standard form using intercepts.

2. What is Standard Form
Standard form of a linear equation is Ax + By = C.
Where A and B are not both zero.
A, B, and C are integers.
A quick way to graph this form is to plot its intercepts.

3. What are intercepts?
The x-intercept is the x-coordinate of the point where the line intersects the x-axis. y x
(x, 0)
Ax + By = C

4. What are intercepts?
The y-intercept is the y-coordinate of the point where the line intersects the y-axis.
(0, y) y x
Ax + By = C

5. Graphing Equations in Standard Form
The standard form of a linear equation gives you a quick way to graph to graph the equation.
Find x-intercept by letting y = 0. Solve for x. Use x-intercept to plot point where line crosses x-axis.
Find y-intercept by letting x = 0. Solve for y. Use y-intercept to plot point where line crosses y-axis.
Draw line through the two points.

6. Graphing Equations in Standard Form
(0,4)
Graph 2x + 3y = 12
Let y = 0 to find the x-intercept.
2x + 3(0) = 12
2x = 12
x = 6 → (6, 0) is the x-intercept.
(6, 0)
Let x = 0 to find the y-intercept.
2(0) + 3y = 12
3y = 12
y = 4 → (0, 4) is the y-intercept.