Question

What steps do you follow in plotting a graph?

Answer 1

Hint: As we know that a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. We should know that there are different types of graphs such as bar graphs, block graphs, column graphs and so on. Here we have to understand how to plot a graph and we will solve it with an example.

Complete step-by-step answer:
We should note the following steps while plotting a graph:
We should always have a graph with fine enough divisions to give useful information.
After this, we need to draw the $ x - $ axis and $ y - $ axis and then divide them properly.
We can after add the data points on the graph. After that we need to draw the shape formed, it can be either straight line or curve.
We can give the graph a title and then collect the information from the graph.
Let us take an equation i.e. $ 5x - 3y = 15 $ , two variables $ x $ and $ y $ .
Let $ x = 0 $ , putting the value of $ x $ in equation we have,
 $ 5 \times (0) - 3y = 15 \Rightarrow 0 - 3y = 15 $ ,
 By isolating the term $ y $ we get,
 $ y = \dfrac{{15}}{{ - 3}} $ .
Therefore $ y = - 5 $ .
 Now let $ y = 0 $ , again putting the value of $ y $ in equation,
 $ 5x - 3(0) = 15 \Rightarrow 5x = 15 $ ,
Again by isolating the term $ x $ we get,
 $ x = 3 $ .
So $ x = 3 $ .
Putting the values of $ x $ and $ y $ in tabular form, we have

$ x $	$ 0 $	$ 3 $
$ y $	$ - 5 $	$ 0 $

Now we can plot the coordinates in the graph:

Here the coordinates are $ A(0, - 5) $ and $ B(3,0) $ in the graph above. Similarly if we take any other value for points, it will also satisfy the equation $ 5x - 3y = 15 $ .
 Hence the coordinates of the given equation in the graph are $ A(0, - 5) $ and $ B(3,0) $ .

Note: We should note that the above given equation is a linear equation in two variables. Any equation that can be represented in the form $ ax + by + c = 0 $ , where $ a,b $ and $ c $ are real numbers and $ a,b $ are not equal to $ 0 $ , is called a linear equation in two variables.
From the above solution we can conclude that each point on the line will be the solution of the equation and each solution of the equation will be some point on the line. So we plot every linear equation in two variables in a graph as a straight line in a coordinate plane as in the above equation.