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Is $\frac{x}{y} = \frac{1}{2}$ $x/y = 1/2$ a direct variation equation and if so, what is the constant of variation?

1 Answer

Jan 17, 2016

$\frac{x}{y} = \frac{1}{2}$ $x/y=1/2$ is a direct variation equation with a constant of variation $= 2$ $= 2$

Explanation:

Any equation that can be written in the form:
$XXX y = c \cdot x$ $color(white)("XXX")y=c*x$ for some constant $c$ $c$
is a direct variation equation with a constant of variation $= c$ $=c$

$\frac{x}{y} = \frac{1}{2} XX \Leftrightarrow XX y = 2 x$ $x/y=1/2color(white)("XX")hArrcolor(white)("XX")y=2x$

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