If y varies directly with x, Write an equation relating x and y when y = -30 and x = 6.Group of answer choices-6x = -30yy = 5xy = -5x6x = -30y

1. Break Down the Problem

To establish a direct variation between $y$ and $x$, we use the formula: $y = kx$ where $k$ is the constant of variation.

2. Relevant Concepts

Given the values $y = -30$ and $x = 6$, we can substitute these values into the equation to find the constant $k$.

3. Analysis and Detail

Substituting the known values into the equation $y = kx$: $-30 = k(6)$ Now, solve for $k$: $k = \frac{-30}{6} = -5$ Thus, the equation relating $x$ and $y$ is: $y = -5x$

4. Verify and Summarize

Let's verify the condition with the derived equation and the given values: If $x = 6$, $y = -5(6) = -30$ This confirms the relationship is correct.

Final Answer

The equation relating $x$ and $y$ is: $y = -5x$ Among the provided options, the correct choice is: $y = -5x$.