Question

How do you draw the graph of \[y=x-3\] ?

Answer 1

Hint:
For drawing the graph of a linear equation, we just need to plot two points satisfying the given linear equation. This can be done by randomly selecting $2$ values for x and find the values of y corresponding to the selected values of x.

Complete step by step solution:
First, to solve such types of questions, we need to draw the x-axis and the y-axis on the graph. The x-axis is simply the horizontal axis in the graph and the y-axis is the vertical one
To draw the graph of \[y=x-3\] , we need to find the points which lie on \[y=x-3\] .
In the graph of \[y=x-3\] :
On putting, \[x=0\],
We get, \[y=0-3=(-3)\] .
Therefore, the point \[(0,-3)\] will lie on the graph.
Now, on putting, \[y=0\] ,
 We get, \[0=x-3\Rightarrow x=3\] .
Therefore, the point \[(3,0)\] will lie on the graph.
From the above calculations, we found that the graph will include \[(3,0)\] and \[(0,-3)\] .
Now, let’s plot these points in the graph:

Note:
While solving such questions, it is recommended to select points for which one of the coordinates is $0$. This will help in simplifying the calculations. Graph of a linear equation is a straight line, therefore, finding only $2$ points is sufficient.