# What is the direct variation equation if y varies directly with x, and y=2 when x=4?

Oct 29, 2014

$y$ varies directly with $x$

$\implies y = k x$

if $x = 4$, then $y = 2$

$\implies 2 = k \left(4\right)$

#=> 4k = 2

$\implies k = \frac{1}{2}$

$\implies y = \frac{1}{2} x$