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**Happy Monday Return Quizzes Return Chapter 6 part 1 tests Go over Quiz**

Hand out Intervention Letters Signed letters due BY Wednesday

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**Warm ups Convert to Slope-Intercept form: 3x – 2y = 12 x + 3y = 6**

Answers: y = 3/2x – 6 y = -1/3x + 2 y = -2x – 16 y = x + 2 y = -5/2x + 7/2

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**Convert Slope-Intercept to Standard**

Objective: To convert a linear Equation from slope-intercept form to standard form. Standard 6.0

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**Standard Form Ax + By = C Rules: A is positive A,B,C are whole #s**

No fractions/decimals

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**Example 1 y = 2x + 4 -2x -2x -2x + y = 4 -1 -1 -1 2x – y = -4**

Convert the equation to standard form: y = 2x + 4 -2x -2x -2x + y = 4 2x – y = -4 *To make A positive, divide (or multiply) everything by -1

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**TOO y = 4x + 6 y = -3x + 4 Convert the equation to standard form:**

Answers: 4x – y = -6 3x + y = 4

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**Example 2 y = -4x + 2 5 +4/5x +4/5x 4x + y = 2 4x + 5y = 10**

Convert the equation to standard form: y = -4x + 2 5 +4/5x +4/5x 4x + y = 2 4x + 5y = 10 (5) (5) (5) *To get rid of the fraction, multiply everything by the denominator.

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**Example 3 m = 3/2 b = 12 Write an equation in standard form:**

y = 3x + 12 2 -3/2x -3/2x -3x + y = 12 -3x + 2y = 24 3x – 2y = -24 Plug into y = mx + b (2) (2) (2) *To get rid of the fraction, multiply everything by the denominator.

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**TOO y = 1/2x – 3 y = -1/2x + 5/3 m = 3/2 b = 12**

Convert the equation to standard form: y = 1/2x – 3 y = -1/2x + 5/3 m = 3/2 b = 12 Answers: x – 2y = 6 3x + 6y = 10 3x – 2y = -24

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**Homework Equations in Two Variables (Part 2)**

Write an equation in standard form

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Warmups 1. Determine the x and y intercepts of: 3x + 6y = 12 2. Find the slope and y-intercept: 4x + 3y = 6 y – 2=3(x+1) 3. Write an equation in point-slope.

Warmups 1. Determine the x and y intercepts of: 3x + 6y = 12 2. Find the slope and y-intercept: 4x + 3y = 6 y – 2=3(x+1) 3. Write an equation in point-slope.

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