Is $-4x + y = 0$ a direct variation and if so, how do you find the constant?

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Answer 1 · 2018-03-28T11:57:27

Yes. The constant is $4$ .

We are given:

$-4x+y=0$

To vary directly means we can find a form $y = \alpha x$ , where $\alpha$ is some constant.

If we add $4x$ to each side of the above equation we get:

$y = 4x$

So we can see that $y$ and $x$ vary directly by $4$ .

Answer 2 · 2018-03-28T12:01:18

#color(blue)(4)

$y=kx$

Where $k$ is the constant of variation.

$-4x+y=0$

Rearrange to get y in terms of x:

$y=4x$

Compare:

$y=kx$
$y=4x$

So $-4x+y=0$ does represent direct variation.

$:.$

Constant of variation is:

$k=color(blue)(4)$

Is -4x + y = 0-4x + y = 0 a direct variation and if so, how do you find the constant?