Linear Equation in Two Variables

• 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
• Not a Linear Equation in Two Variables: 3x^2 - y = 9
• 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
• Solution of Linear Equation

  Ordered pairs that make the equation true
• Determine if (-1, 3) is a solution of x + 3y = 8

  • (-1) + 3(3) = 8
  • -1 + 9 = 8
  • 8 = 8
• 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
• Complete the table and plot the line y = 3x + 2

  1. x y

  2. -2

  3. -1

  4. 0

  5. 1

  6. 2