Linear Equations


Cartesian Coordinates Show

Gradient of a straight line Show

Equation of a straight line Show

Linear Equations


  • A linear equation is an equation, when graphed, produces a straight line.
  • For example: y = mx + b
  • More generally, it is any equation of the form: a_1x_1 + a_2x_2 + \dots + a_nx_n = b
    • a1 to an and b are real numbers, and are the coefficients of the equation.
    • x1 to xn are the variables of the equation.
  • Linear equations do not contain terms such as:
    • x2
    • 2x
  • Because these terms are not linear
    • they do not produce straight lines when graphed.