How to Graph an Equation

Hello friends, in mathematics, we will study different types of equation such as quadratic equation, linear equation. Here we will see How to Graph an Equation. When we are going to plot a graph of the given equation then if we get straight line then the equation is said to be linear equation. For example: y = mx + c; here ‘m’ denotes the slope of a line and ‘c’ denotes Y- intercept where the line crosses the y- axis. Now we will see process of solving systems of linear equations. Here we have to follow some steps to solve the equation. (know more about Graph, here)

Step 1: First we take two equations. Let we have linear equation 2u + v = 12 and 4u – 3v = 6,

Step 2: Then find the value of one variable and put this variable in second equation. Here in this given equation for ‘v’, we cannot solve for ‘u’. So we can write the first equation as:

⇒2u + v = 12;

⇒v = 12 – 2u; so we find the value of ‘v’. Now put the value of ‘v’ in the second equation. On putting the value of ‘v’ in the equation we get:

⇒4u – 3v = 6; put value of ‘v’ to find the value of ‘u’.

⇒4u – 3 * (12 – 2u) = 6, on further solving we get:

⇒4u – 36 + 6u = 6;

Now we add like terms if present in equation;

⇒10u = 42;

⇒u = 4.2.

Now put the value of ‘u’ in 1st equation.

⇒v = 12 – 2u;

⇒v = 12 – 2 * 4.2;

⇒v = 3.6;

So, the value of ‘u’ and ‘v’ is 4.2 and 3.6, if we put these value in the graph then we get a straight line graph. This is how we can solve the equation.

To get more information about Sin Cos Tan Chart then follow online tutorial of trigonometry. Before entering in the examination hall please solve 8th class question papers.