Answer: (B) f(x) = x + 2
Step-by-step explanation: Let's start by finding the "y-intercept".
1. First you can see that the table is not set to the y-intercept automatically, so we have to infer on our own. In the table, you can see that the change from each number is the same. So the y-intercept would be +2 as x = 0, y = 2
2. Looking back at the changes between each box, x for the first change = +4, then for the second = +2, then for the third = +2. Then y for the first = -4, then for the second = -2, then for the third = -2.
So from all of that if you put that into slope form then it would look like 4/-4 = -1x
3. You might be asking why there is a -1x not x since x is the answer. Truth is I really don't know but again the one that makes the most sense is option B. f(x) = x + 2