# Assume y varies inversely as x, how do you write the equation given y=-4 when x=-3?

Mar 17, 2017

#### Answer:

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

#### Explanation:

$y = \frac{k}{x}$, where k is a constant

Subsitute $y = - 4$ and $x = - 3$,

$- 4 = \frac{k}{-} 3$
$k = - 4 \times - 3$
$k = 12$

Hence, the inverse proportional equation is $y = \frac{12}{x}$