How do you determine the constant of variation for the direct variation given -5y=2x?

1 Answer
Rafael
Sep 30, 2015

k=-2/5

Explanation:

In a direct variation, the constant variation k is equal to y/x.

k=y/x

We just need to isolate y/x in one side.

Solution
−5y=2x
(1/(2x))(−5y)=(1/(cancel(2x)))(cancel(2x))
(-5y)/(2x)=1
(cancel2/cancel(-5))((cancel(-5)y)/(cancel2x))=(2/-5)1
color(red)(y/x=-2/5=k)

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