Question

Find the constant of variation k for the direct variation.

2x + 6y = 0

Answer 1

-1/3

Explanation:

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Answer 2

`k=-(1)/(3)`

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`k=(y)/(x)` or
`y=kx`

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have

`2x+6y=0`

Isolate the variable y

subtract 2x both sides

`2x+6y-2x=0-2x`

`6y=-2x`

Divide by 6 both sides

`y=-(1)/(3)x`

therefore

The constant of variation is equal to

`k=-(1)/(3)`