Question

Which set of data represents a negative linear relationship data set a 0, 0 1, negative 1 2, 12 data set b 0, 1 3, 4 6, 8 data set c 0, 4 1, 6 2, 8 data set d 0, -4 one, negative 6 2, -8

Answer 1

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**.