# If y varies inversely as x, and y = 3 as x = -2, how do you find y for the x-value of -1?

Apr 3, 2016

$y = 6$

#### Explanation:

If $y$ varies inversely as $x$, $x \times y = k$ a constant.

As $y = 3$ when $x = - 2$,

$x \times y = \left(- 2\right) \times 3 = - 6$ and hence $k = - 6$

or $x \times y = - 6$

Hence, when $x = - 1$,

$\left(- 1\right) \times y = - 6$ or

$y = - \frac{6}{- 1} = 6$