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Convert to Slope-Intercept form:

1. 3x – 2y = 12

2. x + 3y = 6

3. 2x + y = -16

4. 4x – 4y = -8

5. 5x + 2y = 7

Answers:

1. y = 3/2x – 6

2. y = -1/3x + 2

3. y = -2x – 16

4. y = x + 2

5. y = -5/2x + 7/2

Convert Slope-Intercept to Standard

Objective: To convert a linear Equation from slope-intercept

form to standard form.

Standard 6.0

Standard Form

Ax + By = C

Rules: A is positive A,B,C are whole #s No fractions/decimals

Example 1

Convert the equation to standard form:

y = 2x + 4

-2x -2x

-2x + y = 4

-1 -1 -1

2x – y = -4

*To make A positive, divide (or multiply) everything by -1

TOO

Convert the equation to standard form:

1. y = 4x + 6

2. y = -3x + 4

Answers:

1.4x – y = -6

2.3x + y = 4

Example 2

Convert the equation to standard form:

y = -4x + 2

5

+4/5x +4/5x

4x + y = 2

5

4x + 5y = 10

*To get rid of the fraction, multiply everything by the denominator.

(5)(5)(5)

Example 3

Write an equation in standard form:

m = 3/2 b = 12

y = 3x + 12

2

-3/2x -3/2x

-3x + y = 12

2

-3x + 2y = 24

-1 -1 -1

3x – 2y = -24

(2)(2)(2)

Plug into y = mx + b

*To get rid of the fraction, multiply everything by the denominator.

TOO

Convert the equation to standard form:

1. y = 1/2x – 3

2. y = -1/2x + 5/3

3. m = 3/2 b = 12

Answers:

1.x – 2y = 6

2.3x + 6y = 10

3.3x – 2y = -24

Homework

Equations in Two Variables (Part 2) Write an equation in standard form