Draw the graph of the equation 2x + y = 6. Find the coordinates of the point,
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 $P(3,0)$.