Step-by-step explanation:
From the table, let's extract a set of data.
let's take x = 3, y = -9.
Let's substitute x into each of the equation to check.
A.
[tex]y = \frac{x}{ - 3} \\ y = \frac{3}{ - 3} \\ = - 1[/tex]
From here we can see the calculated y is not equal to the y in the table, therefore this cannot be the answer.
B.
[tex]y = x \\ y = - 3[/tex]
From here we also can see the calculated y is not equal to the y in the table, therefore this also cannot be the answer.
C.
[tex]y = 3x \\ = 3( - 3) \\ = - 9[/tex]
From here we can see the calculated y is equal to the y in the table , therefore this is the answer.
D.
[tex]y = - 3x \\ = - 3( - 3) \\ = 9[/tex]
From here we can see the calculated y is not equal to the y in the table, therefore this is not the answer.
