To plot the equivalent ratios based on the given x-values and y-values, we need to identify the pairs from the table:
- When \( x = 2 \), \( y = 6 \)
- When \( x = 4 \), \( y = 12 \)
- When \( x = 6 \), \( y = 18 \)
- When \( x = 8 \), \( y = 24 \)
These points can be summarized as coordinates:
- (2, 6)
- (4, 12)
- (6, 18)
- (8, 24)
To plot these points on a coordinate plane, you can:
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Draw a horizontal line for the x-axis and a vertical line for the y-axis.
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Mark the x-values (2, 4, 6, 8) along the x-axis.
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Mark the y-values (6, 12, 18, 24) along the y-axis.
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Plot each coordinate:
- (2, 6) - go to x = 2 and then up to y = 6 and place a point.
- (4, 12) - go to x = 4 and then up to y = 12 and place a point.
- (6, 18) - go to x = 6 and then up to y = 18 and place a point.
- (8, 24) - go to x = 8 and then up to y = 24 and place a point.
Once all the points are plotted, you should see a straight line that represents the equivalent ratios of x-values to y-values, showcasing that as x increases, y increases proportional to the given ratios.
The equivalent ratio for each coordinate can be simplified and noted as follows:
- (1, 3) for (2, 6)
- (1, 2) for (4, 12)
- (1, 1) for (6, 18)
- (1, 0.75) for (8, 24)
Please ensure that the axes are properly labeled and the scale is uniform for clarity when plotting on the coordinate plane.