To determine if the relationship between the given coordinate points is proportional or non-proportional, we need to plot the graphs and analyze the pattern of the data.
Let's plot the points and name the graphs as A and B:
Graph A:
(1, 2)
(2, 4)
(3, 6)
(4, 8)
Graph B:
(1, 3)
(2, 6)
(3, 9)
(4, 12)
Now, let's analyze the relationship between the x-values and y-values for each graph:
In graph A, as the x-values increase by 1, the y-values increase by 2. The ratio of the y-values to the x-values is always 2. Therefore, this is a proportional relationship.
In graph B, as the x-values increase by 1, the y-values increase by 3. The ratio of the y-values to the x-values is always 3. Therefore, this is also a proportional relationship.
Both graphs A and B exhibit a consistent ratio between the y-values and x-values, indicating that the relationship is proportional. In a proportional relationship, the ratio between the variables remains constant.
In summary, the relationship represented by both graphs A and B is proportional because the ratio between the y-values and x-values remains constant.