Linear Equation in Two Variables

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Linear Equation in Two Variables
An equation that can be written in the standard form Ax + By = C, where A, B, and C are real numbers, and A and B are both nonzero
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Not a Linear Equation in Two Variables: 3x^2 - y = 9
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Determine whether or not each equation is a linear equation in two variables 
1. 2x^2 - 3x + 2 = 0
2. 3x - 4y = 8 - 4x
3. x - 5 = 3x - 3
4. x - 3x = 2
5. y + 7x = 3
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Solution of Linear Equation
Ordered pairs that make the equation true
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Determine if (-1, 3) is a solution of x + 3y = 8
(-1) + 3(3) = 8
-1 + 9 = 8
8 = 8
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Solve for y and complete the table of values. Plot the graph of the equation y = 4x - 1 
1. y = 4x - 1
2. x y
3. 0 -1
4. -1 -5
5. 1 3
6. 2 7
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Complete the table and plot the line y = 3x + 2
1. x y
2. -2
3. -1
4. 0
5. 1
6. 2
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Linear Equation in Two Variables

Cards (7)

Linear equation in two variables

7.1.2 Variables

11.1.2 Variables

3. Linear Programming

2.6 Linear Regression Models

11.1.2 Variables

Applying the method of separation of variables to solve differential equations:

Unit 4: Linear Momentum

1.2 The Language of Variation: Variables

4.1 Linear Momentum

2.1 Introducing Statistics: Are Variables Related?

7.4.1 Analysis of Relationships Between Variables

4.3 Conservation of Linear Momentum

1.1.1 Variables and constants

4.4.2 Wave Equation

2.4 Representing the Relationship Between Two Quantitative Variables

2.2 Representing Two Categorical Variables

1.3 Casting and Ranges of Variables

1.1 Education

3.1.9.2 Determination of Rate Equation

11.2 Calculating variances