Final answer:
The rule is for each 1 increase in x, y increases by 2 (y = 2x). By applying the rule, we determine that when x = -1, y is -6.
Step-by-step explanation:
The question asks us to find a missing value in a table under a given rule. In the provided table, we have the pairs of numbers where each x value corresponds to an y value:
x | y
-2 | -8
-1 | ?
0 | 0
1 | 2
Based on the pattern observed in the y values, we deduce a rule that can be applied to find the missing y value when x is -1. By observing that when x increases by 1, y increases by 2, we can infer that the rule is: for each increase by 1 in x, y increases by 2 (y = 2x). Now let's find the missing y value for x = -1:
- If x = -2, y is -8.
- If we increase x to -1, y would be -6 because we add 2 to y (-8 + 2 = -6).
Hence, y for x = -1 should be -6.