What is the direct variation equation if y varies directly with x and y = –12 when x = 6?

Question

Question 2 options:

y = –2x

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y = –6x

y = –18x

Answer 1

The direct variation equation is of the form y = kx, where k is the constant of variation. To find the value of k, we can use the given values of y and x:

y = kx
-12 = k * 6

To solve for k, divide both sides of the equation by 6:

-12/6 = k
-2 = k

Now we can substitute the value of k into the equation:

y = -2x

Therefore, the direct variation equation is y = -2x.