Write a rule for the linear function in the table.
I would appreciate it if someone could check if i got this right or not. If not could you please explain.
x | f(x)
-3 -1
0 2
3 5
6 8

first both values increase by 3 so x=3 and f(x)=3
m=3/3=1. so the rule i got was f(x)=x-1.

Question

Write a rule for the linear function in the table.
I would appreciate it if someone could check if i got this right or not. If not could you please explain.
x  |   f(x)
-3    -1
0       2
3      5
6       8

first both values increase by 3 so x=3 and f(x)=3
m=3/3=1. so the rule i got was f(x)=x-1.

phi · Answer

first, let's try with x=0   according to your equation f(0)= 0-1= -1
but the table says f(0)=2.  so back to the drawing board.

one way to solve this is treat 2 of the pairs as points, and find the line through the 2 points.  (at the end, call y f(x))
I would use for example (0,2) and (3,5).  find the line through those 2 points