Question:
Draw the graph of the equation 2x + y = 6. Find the coordinates of the point, where the graph cuts the x-axis.
Solution:
Given equation:
$2 x+y=6$
$\Rightarrow y=6-2 x$
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
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 $x-a x i s$ at $P(3,0)$.