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.