Download 3-6 Standard Form.notebook - Germantown School District

3­6 Standard Form.notebook
November 17, 2016
3­6 Standard Form of the Equation of a Line
Standard form of the equation of a line is where A and B are not both zero and A, B, and C are real numbers.
Standard form of a linear equation can be used to find the x­ and y­
intercepts of a line. You can also solve for y to get it into slope­
intercept form if you need the slope.
Graphing a standard form equation:
3x + 2y =12 1. Find the x­intercept: put 0 in for y and find x
graph (x, 0)
2. Find the y­intercept: put 0 in for x and find y
graph (0, y)
3. Connect the intercepts
y
8
7
6
5
4
3
2
1
x
­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1­10 1 2 3 4 5 6 7 8
­2
­3
­4
­5
­6
­7
­8
Example: Graph by finding the x­ and y­intercepts of each line
3­6 Standard Form.notebook
November 17, 2016
Find the intercepts for each line and graph it.
2x ­ 3y = 15
­2x + 6y = 18
x + 4y = ­8
5x ­ y = ­5
Standard form of the equation of a line can be solved for y to get the equation into slope­intercept form.
7x ­ 2y = 12 Ax + By = C
3­6 Standard Form.notebook
November 17, 2016
You can solve an equation for y and simplify to find slope and y­
intercept or you can use the shortcut:
slope: _______ y­intercept: _______