How do you write an inverse variation equation given $y= -6$ when $x= -2$ ?

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Answer 1 · 2017-06-15T14:46:01

$x = 12/y or y = 12/x$

Any quantities which are inversely proportional to each other are related by a constant.

$x prop 1/y$

Form an equation by introducing a constant $(k)$

$x = k/y$

Find a value for $k$ using the given values for $x and y$

$k = x xx y$

$k = -2 xx -6 = 12$

Use this value for $k$ in the equation above:

$x = 12/y$

This could be written as $y = 12/x$

How do you write an inverse variation equation given y= -6y= -6 when x= -2x= -2?