Step 1 :The variables $x$ and $y$ in the table are in a linear relationship that is not necessarily proportional. The relationship can be represented by the equation $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.
Step 2 :We can find the values of $m$ and $b$ by using the two points given in the table (-2, 4) and (1, 2.5).
Step 3 :Using these points, we find that $y = 0.49999999999999734$.
Step 4 :We are asked to find the value of $y$ when $x$ is 5. Substituting $x = 5$ into the equation, we find that $y$ is approximately 0.5.
Step 5 :However, since the options are all integers or half integers, we can round this to the nearest half integer, which is 0.5.
Step 6 :Final Answer: \(\boxed{0.5}\)