Question

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Answer 1

To find the constant of variation we may look at direct variation, as in y varies directly as x. We then have \[y=kx \implies \frac{ y }{ x } = k\]

Answer 2

k is the constant of variation

Answer 3

Solve for the ratio y/x

Answer 4

@studen9 \[-4y=8x\\ \implies\ y=\frac{ 8 }{ -4}x\\ \implies\ y=-2x\\ compare\ with\ y=kx,\ clearly\ k=-2.\ so\ constant\ of\ varaiation\ is -2.\ Ans\]