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Important Formulas: Linear Equations in Two Variables | The Complete SAT Course - Class 10 PDF Download

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.

Important points to Note

  1. A linear equation in two variable has infinite solutions
  2. The graph of every linear equation in two variable is a straight line
  3. x = 0 is the equation of the y-axis and y = 0 is the equation of the x-axis
  4. The graph x = a is a line parallel to y -axis.
  5. The graph y=b is a line parallel to x -axis
  6. An equation of the type y = mx represents a line passing through the origin.
  7. Every point on the graph of a linear equation in two variables is a solution of the linear equation. Moreover, every solution of the linear equation is a point on the graph.
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