Answer:
The first set of data is not proportional because the ratio between the input and output values is not constant. For example, when x decreases from -4 to -2, y increases by 2 (from 0 to 2), which is a ratio of 1:1. When x decreases from -2 to 0, y increases by 2 (from 2 to 4), which is a ratio of 1:2.
The second set of data is proportional because the ratio between the input and output values is constant. For example, when x decreases from 3 to 1, y increases by 2 (from -2 to 0), which is a ratio of 1:1. When x decreases from 1 to -1, y increases by 2 (from 0 to 2), which is also a ratio of 1:1.
The third set of data is proportional because the ratio between the input and output values is constant. For example, when x increases from 0 to 1, y increases by 1 (from -1 to 0), which is a ratio of 1:1. When x increases from 1 to 2, y increases by 1 (from 0 to 1), which is also a ratio of 1:1.
The fourth set of data is not proportional because the ratio between the input and output values is not constant. For example, when x decreases from 6 to 3, y decreases by 1 (from -2 to -1), which is a ratio of 1:3. When x decreases from 3 to 0, y decreases by 1 (from -1 to 0), which is a ratio of 1:3, but from x=0 to x=-3, y does not decrease by 1, meaning that the ratio among changes varies.