We first create the table of the equation given and then see which of the tables given matches ours
To create a table we evaluate y = -5x + 1 at x = 1, 2,3, and 4 to find the values of y:
For example, at x = 1
[tex]y=-5(1)+1=-4[/tex]at x = 2
[tex]y=-5(2)+1=-9[/tex]and so on until x = 4.
The table created is the following.
[tex]\begin{gathered} x,y \\ 1,-4 \\ 2,-9 \\ 3,-14 \\ 4,-19 \end{gathered}[/tex]Which matches table 1.
Hence, table 1 is the correct answer.