# If y varies directly with x, and x = -6 when y = 2 and how do you find x when y = -9?

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To find x when y = -9, you can use the direct variation formula:

(y = kx)

First, solve for the constant of variation (k) using the given data point (x = -6, y = 2):

(2 = k \times (-6))

(k = \frac{2}{-6} = -\frac{1}{3})

Now that you have the value of (k), substitute it into the direct variation formula along with the given value of y:

(-9 = -\frac{1}{3}x)

To solve for x, multiply both sides by (-3):

(-9 \times -3 = x)

(27 = x)

So, when y = -9, x = 27.

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