Question

The graph of the linear equation x − y = 0 passes through the point
(a) $\left(\frac{-1}{2},\frac{1}{2}\right)$
(b) $\left(\frac{3}{2},\frac{-3}{2}\right)$
(c) (0, −1)
(d) (1, 1)

Answer 1

(d) (1, 1)
Given equation: $x-y=0$ or, $x=y$
When $x=1$, $y=1$
When $x=2$, $y=2$... and so on
Thus, we get the following table:

$\text{x}$	1	2
$y$	1	2

​Plot the points on the graph paper. Join the points and extend them in both the directions.
We can see the linear equation $x-y=0$ passes through the point (1,1).