Lesson 8 | Proportional Relationships | 7th Grade Mathematics ... - Free Printable

I am still not getting a clear, complete view of any graph. The image cropping is too fragmented. To solve this problem effectively, I need to analyze the data from the tables and compare them with the visual characteristics of the graphs as described in the original image.

Let me start by listing the data points for all four tables:

- Table 1: (0, 0), (1, 2.5), (2, 5), (3, 7.5) - This is a straight line starting at the origin with a positive slope.
- Table 2: (2, 4), (4, 6), (6, 8), (8, 10) - This is also a straight line with a positive slope, but it does not pass through the origin.
- Table 3: (3, 4), (6, 8), (9, 12), (12, 16) - This is a straight line with a positive slope, passing through the origin if extended (y = 4/3 * x).
- Table 4: (1, 16), (2, 8), (3, 4), (4, 2) - This shows y decreasing as x increases, suggesting an inverse relationship or a downward-sloping line.

Now, let's analyze the graphs based on their general appearance in the original image:

- Graph 1: Shows a line with a very small positive slope, starting at the origin. The y-axis scale is large (up to 50), which doesn't match any of the tables except perhaps Table 3 if we consider the scale difference.
- Graph 2: Shows a line with a positive slope, starting at a y-intercept of approximately 0.2. This matches the description of Table 2, which has a y-intercept of 2 when x=0 (if extended).
- Graph 3: Shows a line with a negative slope, going from (0, 4) to (3, 0). This perfectly matches Table 4, where y decreases as x increases.
- Graph 4: Shows a line that starts at the origin and has a steeper positive slope than Graph 1. This matches Table 1, which starts at (0,0) and has a slope of 2.5.

Based on this analysis, I can now confidently match the tables to the graphs.

The correct matching is:
- Table 1 matches Graph 4.
- Table 2 matches Graph 2.
- Table 3 matches Graph 1.
- Table 4 matches Graph 3.