How to Graph an Equation

Hi students, in mathematics, we will see different graph such as functional graph, quadratic graph. Here we will see How to Graph an Equation font face=“Lucida Grande, Lucida Sans Unicode, Calibri, Arial, Helvetica, Sans, FreeSans, Jamrul, Garuda, Kalimati”>. Linear equation is a type of equation that makes a straight line when it is plotted on a graph. Commonly linear equation is written in form y = mx + b, Here ‘m’ is the slope of line and ‘c’ denotes Y- intercept where line crosses y- axis. Here we will see How to Graph an Equation. Equation is a set or collection of different equations. Now we will understand process of graphing equations. Steps to be followed while graphing equations are shown below. (know more about Graph, here)

Step 1: for solving an equation first we take two equations. Let we have linear equations 3u + v = 10 and 6u – 3v = 8, now we will understand how to equation.

Step 2: Then calculate value of one variable from one equation and then put that value in second equation. So from first equation we can easily calculate the value of ‘v’. So it can be written as:

⇒ 3u + v = 10, on further solving we can write it as:

⇒ v = 10 – 3u, we can get the value of ‘v’. Now put the value of ‘v’ in second equation. On putting value of ‘v’ in equation we get:

⇒ 6u – 3v = 8; put value of ‘v’ to find the value of ‘u’.

⇒ 6u – 3 * (10 – 3u) = 8, on further solving we get:

⇒ 6u – 30 + 9u = 8,

Now add like terms if present in equation;

⇒ 15u = 38,

⇒ u = 2.53, Now put the value of ‘u’ in 1 st equation.

⇒ v = 10 – 3u,

⇒ v = 10 – 3 * 2.53,

⇒ v = 2.4.

So, value of ‘u’ and ‘v’ is 2.53 and 2.4, on plotting these values we get a straight line graph. This is how we can graph a equation.

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