this is writing linear equations

Answer:
[tex]y = 3x +1[/tex]
Step-by-step explanation:
We can verify it by substituting the [tex]x[/tex] with the numbers in the [tex]x[/tex] column to get the same [tex]y[/tex] in the [tex]y[/tex] column.
Check:
[tex]y = 3(-2) +1\\y = -6 +1\\y= 5[/tex]
It matches; therefore, the answer is [tex]y = 3x +1[/tex]. You can try with the other equations given and take the same steps, but it will not match.