# Does the equation represent a direct variation? If so, find the constant of variation. $5 x=- 3 y$ A. No B. Yes; $k=-\frac{3}{5}$ C. Yes; $k= 5$ D. Yes; $k=-\frac{2}{8}$
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Step 1
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Step 2
: Recall the definition of direct variation

- In a direct variation, an equation has the form $$y = kx$$, where $$k$$ is a constant (called the constant of variation)
- The equation must be in the form where y is isolated on one side

Final Answer

Yes; k = -\frac{3}{5} Note: The constant of variation is -\frac{5}{3}, which can be simplified to -\frac{3}{5} by inverting the fraction.