Question

Draw the graph of the equation x − 2y = 6. Verify that each of the points P(2, −2), Q(4, −1) and R(−2, −4) lies on the straight line.

Answer 1

Given, $x-2y=6$
(or) $y=\frac{x-6}{2}$

When $x=0$, then $y=-\frac{6}{2}=-3$.

When $x=2$, then $y=-\frac{4}{2}=-2$.

When $\text{x}=4$, then $y=-\frac{2}{2}=-1$.

When $x=6$, then $y=\frac{0}{2}=0$.
Thus, we get the following table:

$\text{x}$	0	2	6
$y$	- 3	-2	0

Plot the points $(0,3),(2,-2),(6,0)$ on the graph paper. Join the points and extend them in both the directions.
From the graph, we can see that all the points lie on the straight line.