1. 4-3 Standard Form Goal: Write a linear equation in standard form.
Eligible Content:
A / A / A

2. Vocabulary
Standard Form – any linear equation in the form Ax + By = C, where A, B and C are integers. A should be a positive number!
Integers – positive and negative whole numbers. No fractions or decimals.

3. Steps Get rid of fractions and decimals:
Multiply by denominator of fraction.
Get all variables on the same side of the equal sign.
Get all constants on the other side of the equal sign.
Make sure the x coefficient is positive.

4. Write the equation y = 3x + 2 in Standard Form.
y = 3x x -3x -3x + y = 2 Change all signs so 1st term is positive: 3x – y = –2

5. Examples y = -6x + 1 2x = y + 2 4x + 6y – 2 = 8 y + 2 = x
Write each equation in Standard Form.
y = -6x + 1
2x = y + 2
4x + 6y – 2 = 8
y + 2 = x
y + 5 = 2(x – 4)
6x + y = 1
10x – 2y = 10
4x + 6y = 10
2x – 3y = 6
2x – y = 13

6. Write y – 3 = 2(x + 4) in standard form.
A. –2x + y = 5
B. –2x + y = 11
C. 2x – y = –11
D. 2x + y = 11

7. Practice Write each equation in Standard Form. 4x – y – 7 = 0
y = –5x + 2
y = 3x – 8
y = 5 2 x + 9
y = − 1 3 x – 4
y + 7 = –5(x + 3)
4x – y = 7
5x + y = 2
3x – y = 8
5x – 2y = –18
x + 3y = –12
5x + y = –22

8. Homework
Page 236 #19-26