# How do you determine whether the equation #-12x=6y# represents direct variation. If it does, how do you find the constant of variation?

If an expression can be re-formatted into the form:

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To determine if the equation represents direct variation, we check if one variable is a constant multiple of the other. In this case, if we rewrite the equation as y = (-1/2)x, we see that y is equal to -1/2 times x, indicating direct variation. The constant of variation, k, is -1/2.

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