Question

How do you draw the graph of $y=2x-6$?

Answer 1

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.