Introduction to linear equations

Introduction to linear equations

This is a lesson that teaches how to determine if an expression is a linear equation; and how to graph a linear equation.

Lessons

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

Linear
Equation
: 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.
  • 1.
    Which of the following is a linear equation?
    i)
    x = 4
    ii)
    y = 2
    iii)y = 3x + 5

  • 2.
    Graph the linear equations:
    a)
    y = -34 {3 \over 4} x + 2

    b)
    y = 45 {4 \over 5} x2 -2

    c)
    34x+0.6y=3{3 \over 4}x + 0.6y =3


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