Does the equation $y = \frac{2}{x}$ $y = 2/x$ represent a direct variation and if so, identify the constant of variation?

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Answer 1 · 2017-05-01T09:21:44

It represents an inverse proportion with $k = 2$ $k=2$

$y = \frac{2}{x}$ $y = 2/x$ can also be written as $x y = 2$ $xy = 2$

This means that two values multiply together to give $2$ $2$ .

As $x$ $x$ gets smaller, $y$ $y$ gets larger.

$k = x y$ $k = xy$ defines inverse proportion.

The constant is $2$ $2$

Does the equation y=2xy = 2/x represent a direct variation and if so, identify the constant of variation?