Does the equation $2 y = - 8 x$ $2y = - 8x$ represent a direct variation and if so, identify the constant of variation?

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Answer 1 · 2017-07-31T13:41:07

$k = - 4$ $k =-4$

A direct variation can be written in the form $k = \frac{x}{y} (or \frac{y}{x})$ $k = x/y (or y/x)$

Simplify $2 y = - 8 x$ $2y =-8x$ to get $y = - 4 x$ $y = -4x$

$y = - 4 x$ $y=-4x$

$\Rightarrow \frac{y}{x} = - 4$ $rArr y/x =-4$

Therefore this does represent a direct variation with $k = - 4$ $k = -4$

Does the equation 2y=−8x2y = - 8x represent a direct variation and if so, identify the constant of variation?