To help you answer the dropdown questions, let's break down what each part of the question signifies in the context of a linear equation, specifically in slope-intercept form \(y = mx + b\).
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Query 1: Relationship Type (Proportional or Non-Proportional)
- A proportional relationship goes through the origin (0, 0), which means the y-intercept \(b\) is 0. A non-proportional relationship has a y-intercept that is not 0. You'll need to determine whether the relationship in question is proportional or non-proportional based on its characteristics.
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Query 2: Y-Intercept
- The y-intercept is the value of \(b\) in the equation \(y = mx + b\). Based on your options, pick the value that represents the y-intercept.
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Query 3: Slope
- The slope \(m\) in the equation \(y = mx + b\) determines how steep the line is. Choose the value that matches the slope of the line.
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Query 4: Equation of the line in slope-intercept form
- This requires you to construct the equation using the slope you selected in Query 3 and the y-intercept you selected in Query 2.
Example Selection:
For instance:
- If you determined the relationship is Non-Proportional (so Query 1 would be Non Proportional).
- If the y-intercept you selected is 2 (so Query 2 would be 2).
- If the slope you selected is 1/2 (so Query 3 would be 1 over 2).
- Then the equation of the line (using \(y = mx + b\)) would be \(y = \frac{1}{2}x + 2\) (but that wasn't one of the options given).
Answer Format You Might Use:
- Query 1: Non Proportional
- Query 2: 2
- Query 3: 1 over 2
- Query 4: None of the options match; you might need to verify the expected outputs.
Please provide more context or parameters for better tailored answers!