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

Jun 15, 2017

$x = \frac{12}{y} \mathmr{and} y = \frac{12}{x}$

#### Explanation:

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

$x \propto \frac{1}{y}$

Form an equation by introducing a constant $\left(k\right)$

$x = \frac{k}{y}$

Find a value for $k$ using the given values for $x \mathmr{and} y$

$k = x \times y$

$k = - 2 \times - 6 = 12$

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

$x = \frac{12}{y}$

This could be written as $y = \frac{12}{x}$