Unfortunately, the details of the graph are not provided in your question, which makes it impossible to calculate the constant of proportionality directly. However, I can explain how to find the constant of proportionality using a graph's points if you have a graph representing a proportional relationship.
For a graph that shows a proportional relationship between two variables, the formula is typically written as \( y = kx \), where \( y \) and \( x \) are the two variables, and \( k \) is the constant of proportionality.
To find the constant of proportionality from a graph, you would:
1. Take any two points from the graph, \((x_1, y_1)\) and \((x_2, y_2)\).
2. Use the formula \( k = \frac{y_1}{x_1} = \frac{y_2}{x_2} \).
- This works because for every point on the line, \( y \) divided by \( x \) will give you the constant \( k \), assuming a direct variation.
If you can see the graph or if you can provide two points from the graph that are part of the proportional relationship, you can calculate \( k \) using the formula above. If the graph is a straight line passing through the origin (0,0), then the slope of that line is the constant of proportionality.
Using the points shown in the graph, identify the constant of proportionality for this graph. (1 point) $$
K =
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