To determine which statement correctly describes the lines shown on the graph, you need to identify if each line passes through the origin (0,0) and if they represent a constant ratio between the x and y coordinates throughout their lengths.
A proportional relationship can be identified if:
- The line passes through the origin.
- The slope (ratio of rise over run) remains constant.
Here's how you can approach evaluating the options based on the characteristics of proportional relationships:
- Option A states that all three lines are proportional. It can be true if all lines pass through the origin and show a constant ratio.
- Option B claims none of the lines are proportional. This can be true if none pass through the origin.
- Option C suggests that only line C is proportional, which could be the case if only line C passes through the origin with a constant ratio.
- Option D suggests that only lines A and B are proportional, meaning both would need to pass through the origin.
Without the actual graph, I can't definitively choose the correct answer, but you should assess the characteristics of each line based on the criteria mentioned above to select the correct option.
1 answer