Final answer:
The ordered pair that does not belong is d. (2, -4) because, unlike the other pairs, the y-value does not increase by 2 for every unit increase in x.
Step-by-step explanation:
To determine which ordered pair does not belong with the other three, let's look for a pattern among them. We have:
- a. (1, -2)
- b. (0, -4)
- c. (-1, -6)
- d. (2, -4)
Looking at the y-values, it appears that for each unit increase in x, the y-value decreases by 2. Let's test this out:
- From (0, -4) to (1, -2), the x-value increases by 1 and the y-value increases by 2 (going from a more negative to a less negative value is an increase).
- From (-1, -6) to (0, -4), the x-value increases by 1 and the y-value increases by 2.
However, when looking at pair d. (2, -4), if we apply the same pattern, we would expect the y-value to be -2 when the x-value increases by 1 from pair a. (1, -2), but it stays at -4. Therefore, the ordered pair that does not follow the pattern is:
d. (2, -4)