LINEAR EQUATIONS IN TWO VARIABLES

In this chapter, you have studied the following points:

1.An equation of the forma x +b y +c = 0, wherea,b andc are real numbers, such thata and

bare not both zero, is called a linear equation in two variables.

2.A linear equation in two variables has infinitely many solutions.
3.The graph of every linear equation in two variables is a straight line.
4.x = 0 is the equation of the y-axis and y = 0 is the equation of the x-axis.
5.The graph ofx =a is a straight line parallel to they-axis.
6.The graph ofy =a is a straight line parallel to thex-axis.
7.An equation of the typey =m x represents a line passing through the origin.
8.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.