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Step 1:I'll solve this step by step, following the LaTeX formatting guidelines precisely:
Step 2:: Understand the definition of direct variation
A direct variation is a linear relationship where the graph passes through the origin (0, 0), and can be represented by the equation $$y = kx$$, where $$k$$ is a constant (called the constant of variation).
Step 3:: Examine the given equation
The given equation is $$y = -3x
Step 4:: Check if the equation meets the direct variation criteria
y = -3(0) = 0
- The constant of variation is k = - 3
Step 5:: Conclusion
Since the equation $$y = -3x$$ passes through the origin and is in the form $$y = kx$$, this IS a direct variation.
Final Answer
Yes, y = - 3x represents a direct variation with a constant of variation of - 3.
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