# Solving and graphing linear equations

Mathematics is a subject in which problems are represented in the form of equations. An equation is a combination of variables with constant coefficient or without it and constants which are related by arithmetic operators. Friends, today we are going to cover the **linear equations** topics of TutorVista. Linear equations are form of algebraic equation in which all the derivatives are of same order. Let us take an example of** linear equations in two variables**:

2x^{2}+ 3y^{2}= 2

Here 'x' and 'y' are two variables and both are of 2nd order.

Every linear equation represents a straight line but with several conditions and according to these conditions **linear equations** have some basic forms as standard form, slope intercept form, parametric form and polar form. Let us see standard form of** linear equations** of two variables

y = mx + c

here 'x' and 'y' are variables and 'm' is a constant representing slope of the line with constant 'c'.

For **graphing linear equations** both 'x' and 'y' intercept are required of the straight line forming by that linear equation and for finding these co-ordinates a simple principle is followed which states all the y points of equation are 0 on the x- axis and similarly all the x points of equations are 0 on y – axis.

Lets take an example and see how to implement this principle to find x and y co- ordinates of the** linear equations**:

x^{2}+ 2y^{2} = 4

so at x- axis , y= 0 than

x^{2}= 4

x = +2 or -2

now on y- axis , x = 0 than

2y^{2}= 4

y^{2}= 2

y = +(2)1/2or – (2)1/2

So the co-ordinates are ( 2, (2)1/2)and (-2,( -2)1/2) and from this you can graph** linear equations**.

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