Introduction to linear equations

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  1. What is a linear equation?
  1. Which of the following is a linear equation?
    x = 4
    y = 2
    y = 3x + 5
    1. Graph the linear equations:
      1. y = -34 {3 \over 4} x + 2
      2. y = 45 {4 \over 5} x2 -2
      3. 34x+0.6y=3{3 \over 4}x + 0.6y =3
    Topic Notes
    This is a lesson that teaches how to determine if an expression is a linear equation; and how to graph a linear equation.
    Expression: A collection of numbers, variables, and signs, such as 3,3x+4,5x2+2,x3, 3, 3x+4, 5 x^2 + 2, \sqrt{x-3}, etc

    Equations: A mathematical statement with an equal sign, such as y=2,y=3x2,y=x,x=3, y = 2, y = 3x-2, y = x, x = 3, etc

    : Ax + By = C (A, B & C are constants; x & y are variables)
    All linear equations are functions except a vertical line such as x = 3.