How do you determine the constant of variation for the direct variation given $2x - y=0$ ?

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Answer 1 · 2015-09-23T14:57:08

$k=2$

The constant of variation ' $k$ ' for a direct variation is equal to $y$ over $x$ :

$k=y/x$

Here is the solution for the constant of variation, given $2x-y=0$ :

$2x-y=0$
$2x-y+y=0+y$
$2x=y$
$(1/x)2x=(1/x)y$
$(1/cancelx)2cancelx=(1/x)y$
$2=y/x$

$color(blue)(2=y/x=k)$

The constant of variation is 2.

How do you determine the constant of variation for the direct variation given 2x - y=02x - y=0?