Answer:
x: -1, 0, 1
y: 0, 2, 4
Explanation:
A linear relationship is proportional if the ratio between the values of y and x remains constant for all data points. Let's analyze each table to determine if they represent a linear relationship that is also proportional:
x: -1, 0, 1
y: 0, 2, 4
In this case, when x increases by 1, y increases by 2. The ratio between the values of y and x is always 2. Therefore, this table represents a linear relationship that is proportional.
x: -3, 0, 3
y: -2, -1, 0
In this case, when x increases by 3, y increases by 1. The ratio between the values of y and x is not constant. Therefore, this table does not represent a linear relationship that is proportional.
x: -2, 0, 2
y: 1, 0, -1
In this case, when x increases by 2, y decreases by 1. The ratio between the values of y and x is not constant. Therefore, this table does not represent a linear relationship that is proportional.
x: -1, 0, 1
y: -5, -2, 1
In this case, when x increases by 1, y increases by 3. The ratio between the values of y and x is not constant. Therefore, this table does not represent a linear relationship that is proportional.