Linear
Equation in two variables:
The equation of the
type ax + by = c, 3x+y=5 has two variables x and y. The degree of this equation
is 1.
So this is called
linear equation in two variables.
General
form:
The linear equation in
two variables can be represented in general form as
ax + by +c = 0.where a,
b ≠ 0.
e.g. 3x + y 5 = 0.
Solution
of linear equation in two variables
The values of x, y which
satisfies the equation is called the solution of equation.
e.g. 3x + y 5
x = 0, y = 5 is the solution of given equation.
x = 1, y = 2 is the solution of given equation.
So, (0, 5) and (1, 2) are
the solution of given equation.
Also, (3, -4), (4, -7),
(5/3, 0….are the solutions of the given equation.
A linear equation in
two variables can have infinitely many solutions.
The graph of linear
equation is a straight line.
All points on the
straight line satisfy the equation of line.
Conversely,
Every solution of
linear equation in two variables is a point on the graph.
Equation
of a line:
The equation of axis is y = 0
The equation of axis is x = 0
The equation of a line
parallel to axis is y = b
The equation of a line parallel
to y axis is x = a.
The equation of a line
passing through origin y = mx.
