Question

What will be the relation between $x$ and $y$ based on the data given below in the table?
$x$ value $y$ value

0	1
3	4
6	7
8	9
9	10
11	12

• A. $x-y=-1$
• B. $x-y=1$
• C. $x+y=-1$
• D. $x+y=1$

Answer 1

The correct option is A $x-y=-1$

From the given data provided in the table, it is clear that the difference between $y$ and $x$ is constant and that is $1$.

Let's take some $x,y$ values from table
$\Rightarrow$When $x=3,y=4$ and their difference $y-x=4-3=1$

$\Rightarrow$When $x=6,y=7$ and
their difference $y-x=7-6=1$

So, writing this into equation form as
$y-x=1$
Multiplying by $-1$ on both sides
$-1\times (y-x)=-1\times 1$
$\Rightarrow x-y=-1$