Important Concepts and
Formulas
1.
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.
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.
The
equation of the x-axis is y = 0 and the equation of the y-axis is x =
0.
5.
The
equation of a straight line parallel to y-axis is x = a.
6.
The
equation of a straight line parallel to x-axis is y = a.
7.
An
equation of the type y = mx 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.
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