Mr. Tucker asked his students to create a direct variation graph.

Which graph would represent direct variation?
A.
B.
C.
D.


A graph representing a **direct variation** should show a **straight line** passing through the **origin (0,0)**, since direct variation follows the equation:

\[
y = kx
\]

Where \( k \) is the constant of variation (or slope), and the line starts at the origin and increases or decreases in a constant ratio.

To answer the question, you'd need to check which graph follows these rules: a straight line passing through the origin. Since I don't have access to the specific graphs labeled A, B, C, or D, you can verify the correct graph by checking for these two characteristics.

Would you like to upload the graphs so I can give a more precise answer?

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Here are 5 related questions to expand on this topic:
1. What is the general form of a direct variation equation?
2. How do you calculate the constant of variation, \( k \), from a graph?
3. Can a direct variation have a negative slope? What does that mean?
4. What is the difference between direct variation and inverse variation?
5. How would you interpret a graph that doesn't pass through the origin?

**Tip**: Always remember, in direct variation, if one variable is zero, the other must also be zero—hence the graph always passes through the origin.

Mr. Tucker asked his students to create a direct variation graph. Which graph would represent direct variation? A. B. C. D.

Learn how to identify a direct variation graph in algebra. A direct variation graph is a straight line that passes through the origin, represented by the equation y = kx. This question helps students understand how to recognize direct variation based on graph characteristics. Suitable for Grades 8-10.

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