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Chapter 4 Linear Equations in Two Variables Notes for Class 9th Maths

Chapter – 4 Linear Equations in Two Variables

  1. Linear Equations
  2. Solution of a Linear Equation
  3. Graph of a Linear Equation in Two Variables
  4. Equations of Lines Parallel to x-axis and y-axis
  • An equation of the form ax + by + c = 0 where a, b and c are real numbers such that a and b are not both zero is called a linear equation in two variables.
  • A pair of values of x and y which satisfy the equation ax + by + c = 0 is called a solution of the equation.
  • Graph: The graph of every linear equation in two variables is a straight line. Every point on the graph of a linear equation in two variables is two variables is a solution of the linear equation. Conversely, every solution of the linear equation is a point on the graph of the linear equation.
  • A linear equation in two variables has infinitely many solutions.
  • The graph of every linear equation in two variables is a straight line.
  • y = 0 is the equation of x-axis and x = 0 is equation of y-axis.
  • The graph of x = a is a straight line parallel to the y-axis.
  • The graph of y = a is a straight line parallel to the x-axis.
  • An equation of the type y = mx represent a line passing through the origin.

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