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