Question

Which one of the following options shows the incorrect plotting of the relation $y=x-2$?

Answer 1

The relation is $y=x-2$. The few ordered pairs that satisfy this relation are as follows:

$x$	$y=x-2$
2	0
3	1
4	2
5	3
6	4
7	5
8	6
9	7
10	8
11	9
12	10

$\text{Option A:}$
The ordered pairs are (4, 2), (6, 4), and (10, 8).
From the table, we see that these pairs satisfy the relation $y=x-$ 2.
So, the plot shows the correct relationship.

$\text{Option B:}$
The ordered pairs are (3, 1), (7, 5), and (12, 10).
From the table, we see that these pairs satisfy the relation $y=x-$ 2.
So, the plot shows the correct relationship.

$\text{Option C:}$
The ordered pairs are (2, 0), (3, 1), and (4, 4).
From the table, we see that (4,4) does not satisfy the relation $y=x-$ 2.
So, the plot shows the incorrect relationship.

$\text{Option D:}$
The ordered pairs are (2, 0), (5, 3), and (7, 5).
From the table, we see that these pairs satisfy the relation $y=x-$ 2.
So, the plot shows the correct relationship.