Question

How do you draw the graph of \[y=2x-6\]?

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:
To draw the graph of \[y=2x-6\], we need to find the points which lie on \[y=2x-6\].
In the graph of \[y=2x-6\] :
On putting, \[x=0\],
We get, \[y=2(0)-6=(-6)\].
Therefore, the point \[(0,-6)\] will lie on the graph.
Now, on putting, \[y=0\] ,
We get, \[0=2x-6\Rightarrow x=3\].
Therefore, the point \[(3,0)\] will lie on the graph.
From the above calculations, we found that the graph will include \[(3,0)\] and \[(0,-6)\].
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.