X y

0 - 3

2 5

3 9

4 13

Which equation matches the table?

A) y = x - 3

B) y = x + 3

C) y = 4x - 3

D) y = 4x + 3

Let's prove each one:

A) y=x-3

x=0→y=0-3→y=-3=-3 ok

x=2→y=2-3→y=-1 different to 5 No

B) y=x+3

x=0→y=0+3→y=3 different to - 3 No

C) y=4x-3

x=0→y=4 (0) - 3=0-3→y=-3=-3 ok

x=2→y=4 (2) - 3=8-3→y=5=5 ok

x=3→y=4 (3) - 3=12-3→y=9=9 ok

x=4→y=4 (4) - 3=16-3→y=13=13 ok

D) y=4x+3

x=0→y=4 (0) + 3=0+3→y=3 different to - 3 No

Answer: Option C) y=4x-3