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Study Material

LINEAR EQUATIONS IN TWO VARIABLES
CBSE Class 9, Math

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 linear equation in two variables has infinitely many solutions.

The graph of every linear equation in two variables is a straight line.

x = 0 is the equation of the y-axis and y = 0 is the equation of the x-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 represents a line passing through the origin.

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 of the linear equation.

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