# How do you write an inverse variation equation given y=8 when x=6?

Inverse variation equation is $x \cdot y = 48$
Inverse variation: $x \propto \frac{1}{y} \mathmr{and} x = k \cdot \frac{1}{y} \mathmr{and} x \cdot y = k$ [k is a constant]
$x = 6 , y = 8 \therefore k = x \cdot y = 48 \therefore x \cdot y = 48$
Inverse variation equation is $x \cdot y = 48$ [Ans]