Graph the equation by plotting points

Linear equations are some of the simplest equations and the easiest to plot. These type of equations appear abundantly in most subareas of mathematics and mostly in applied mathematics.

Graphing such equation by plotting points comes down to finding points belonging to the graph using its equation.

It is pretty simple to find the points that will help you graph using equations and all that is needed to do is to find at least 2 points and draw a straight line using these two points.

Graph the equation by plotting points

let’s start with this simple example just to warm up

How do you plot the following equation?

Graph-the-equation-by-plotting-points-and-check

Graphing the above equation will look like the following

Graph-the-equation-by-plotting-points-and-check

let’s go the following example.

Graph-the-equation-by-plotting-points-and-check

To find points on the line, we need to set one of the parameters to a certain value and find its counterpart.

We will set x to a certain value and find what is the corresponding y for each of the set value of x.

Graph-the-equation-by-plotting-points-and-check

Plotting the graph, we will have the following

Graph-the-equation-by-plotting-points-and-check

Note that to be sure of your result you can find the third point, and/or a first point using the same technique we used above, and the point you find should lie on the graph above.

You can as well choose to check your result using some online application like http://rechneronline.de/function-graphs/ or using Matlab.

tchouken2

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