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How do you determine the constant of variation for the direct variation given $- 6 y = - 3 x$ $-6y=-3x$ ?

1 Answer

Oct 18, 2015

Constant of variation $= \frac{1}{2}$ $=1/2$

Explanation:

For a direct variation in $x$ $x$ and $y$ $y$ (with $y$ $y$ as the dependent variable),
the direct variation equation is
$XXXX y = c \cdot x$ $color(white)("XXXX")y=color(green)(c)*x$ where $c$ $color(green)(c)$ is the constant of variation.

$- 6 y = - 3 x$ $-6y=-3x$
$XXXX \Rightarrow y = \frac{1}{2} x$ $color(white)("XXXX")rArr y = color(green)(1/2)x$ (after dividing both sides by $(- 6)$ $(-6)$

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