Question
2. Use the graph the answer the following questions. (3 points) a. The constant of proportionality is . b. Write an equation that represents this graph . c. This is a proportional relationship because the y-intercept is .
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GPT-4o mini
It seems that you are referring to a graph that isn't visible in this format. However, I can guide you on how to answer those questions if you provide the necessary details from the graph.
Here’s how to approach each question:
a. **Constant of Proportionality**: This is often represented by the variable \( k \) in the equation \( y = kx \). To find it, look at the ratio of \( y \) to \( x \) for a few points on the graph. If you have a point (x, y), the constant of proportionality can be calculated as \( k = \frac{y}{x} \).
b. **Equation that Represents the Graph**: Once you have determined the constant of proportionality \( k \), you can write the equation in the form \( y = kx \).
c. **Proportional Relationship**: A relationship is considered proportional if it goes through the origin (0, 0) and is represented as a straight line. Thus, if the line intersects the y-axis at the origin, you would state that "the y-intercept is 0".
Please provide more specific details from the graph, such as coordinates of points or the slope of the line, in order for me to assist you further!
Here’s how to approach each question:
a. **Constant of Proportionality**: This is often represented by the variable \( k \) in the equation \( y = kx \). To find it, look at the ratio of \( y \) to \( x \) for a few points on the graph. If you have a point (x, y), the constant of proportionality can be calculated as \( k = \frac{y}{x} \).
b. **Equation that Represents the Graph**: Once you have determined the constant of proportionality \( k \), you can write the equation in the form \( y = kx \).
c. **Proportional Relationship**: A relationship is considered proportional if it goes through the origin (0, 0) and is represented as a straight line. Thus, if the line intersects the y-axis at the origin, you would state that "the y-intercept is 0".
Please provide more specific details from the graph, such as coordinates of points or the slope of the line, in order for me to assist you further!
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