# Is #4x = -6y# a direct variation equation and if so, what is the constant of variation?

constant of variation

if x varies directly as y. simply solve for x to find the constant of variation

then

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Yes, the equation (4x = -6y) represents a direct variation because it is in the form (y = kx), where (k) is the constant of variation. In this case, the constant of variation (k) can be found by rearranging the equation to solve for (y), which gives us (y = -\frac{2}{3}x). Therefore, the constant of variation is (-\frac{2}{3}).

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