Plotting Algebraic Equations

Introduction to Plotting Algebraic equations:

In Algebra, We plot the equations by using the ordered pairs that satisfy the given condition. All the ordered pairs are plotted on the 2 dimensional graph and joining those points result in the graph of the given equation. We find the ordered pairs that satisfy the given condition by taking some random  values for x or y and find the other variable.Here the plotting of algebraic equations is done in this article.

The standard algebraic linear equation will be of the form of Ax + By=C.

Example for Plotting Algebraic Linear Equation:

Let the equation be 3x+2y=6

First we find the ordered pairs that satisfy the given condition.

We take some random values for x and find the value of y using the given equation.

In this example, let us take x values as -2,-1,0,1 and 2.

To find the value of y for each value of x, we substitute the value of x in the equation and solving for y.

For x=-2,

3(-2) + 2y=6

-6 + 2y =6

2y=6+6

2y=12

Y=12/2

`=>`  Y=6

Therefore the ordered pair is (-2,6).

Similarly we find all the values of y for different values of x.

After finding the ordered pairs we plot the ordered pairs (-2,6), (-1,4.5), (0,3), (1,1.5), (2,0) on 2 dimensional graph.

Between, if you have problem on these topics straight line, please browse expert math related websites for more help on ellipse equation.

Example of Plotting Algebraic Equations :

We plot all the ordered pairs and plot in 2 dimensional graph sheet.

We get the following graph of the algebraic equation 3x+2y=6

Similarly we can also graph the quadratic, rational, exponential, logarithmic, trigonometric, polynomial equations in a 2 dimensional graph. We can follow the same procedure as the above to graph any equation having 2 variables. Algebraic equations having more than 2 variables cannot be plotted in a 2 dimensional graph sheet. Only the equation having less than 2 variables can be plotted in a 2 dimensional graph sheet.