Use the table and image to answer the question.

To find the missing equivalent ratios, we can look for a consistent ratio between the \( x \)-values and the \( y \)-values from the table.

From the table:

• Transition from \( x = 2 \) to \( y = 3 \): The ratio \( \frac{3}{2} = 1.5 \)
• Transition from \( x = 4 \) to \( y = 6 \): The ratio \( \frac{6}{4} = 1.5 \)
• Transition from \( x = 6 \) to \( y = 9 \): The ratio \( \frac{9}{6} = 1.5 \)
• Transition from \( x = 8 \) to \( y = 12 \): The ratio \( \frac{12}{8} = 1.5 \)

All pairs maintain the equivalent ratio of \( \frac{y}{x} = 1.5 \). Thus, we can also calculate the \( y \)-value for any \( x \) by using this ratio.

We can find other equivalent ratios by continuing this ratio:

If we let the \( x \) values be 0, 2, 4, 6, 8, and then calculate the corresponding \( y \) values:

• If \( x = 0 \), then \( y = 0 \times 1.5 = 0 \) (Point: (0, 0))
• If \( x = 10 \), then \( y = 10 \times 1.5 = 15 \) (Point: (10, 15))
• If \( x = 1 \), then \( y = 1 \times 1.5 = 1.5 \) (Point: (1, 1.5))
• If \( x = 3 \), then \( y = 3 \times 1.5 = 4.5 \) (Point: (3, 4.5))
• If \( x = 5 \), then \( y = 5 \times 1.5 = 7.5 \) (Point: (5, 7.5))
• If \( x = 7 \), then \( y = 7 \times 1.5 = 10.5 \) (Point: (7, 10.5))
• If \( x = 9 \), then \( y = 9 \times 1.5 = 13.5 \) (Point: (9, 13.5))

You can plot these points on a coordinate plane:

1. (0, 0)
2. (1, 1.5)
3. (2, 3)
4. (3, 4.5)
5. (4, 6)
6. (5, 7.5)
7. (6, 9)
8. (7, 10.5)
9. (8, 12)
10. (9, 13.5)
11. (10, 15)

These additional points will complete the graph of the equivalent ratios on the coordinate plane.