Question

Draw the graph of the equation 2x + y = 6. Find the coordinates of the point, where the graph cuts the x-axis.

Answer 1

Given equation:
$$\begin{gathered} 2x+y=6 \\ \Rightarrow y=6-2x \end{gathered}$$
When, $x=0$, $y=6-0=6$.
When, $x=1$, $y=6-2=4$.
When, $x=2$, $y=6-4=2$.
Thus, we have the following table:

$\text{x}$	0	1	2
$y$	6	4	2

Plot the points $(0,6),(1,4)$ and $(2,2)$ on the graph paper. Join these points and extend the line.



Clearly, the graph cuts the $x-axis$ at $P(3,0)$.