To determine which set of data represents a negative linear relationship, we need to look for a pattern where, as one variable increases, the other variable decreases.
Let's examine the given datasets:
Data set A:
- (0, 0)
- (1, -1)
- (2, 12)
This set does not show a consistent negative relationship because the values do not decrease as the first variable increases.
Data set B:
- (0, 1)
- (3, 4)
- (6, 8)
This set also does not demonstrate a negative relationship since the values appear to increase.
Data set C:
- (0, 4)
- (1, 6)
- (2, 8)
Similar to data set B, this set shows an increase, so there is no negative relationship.
Data set D:
- (0, -4)
- (1, -6)
- (2, -8)
This set shows a negative relationship, as the second variable decreases (-4, -6, -8) as the first variable increases (0, 1, 2).
Thus, the data set that represents a negative linear relationship is Data set D.