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

Question

5666 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-28T11:57:27

Yes. The constant is $4$ $4$ .

We are given:

$- 4 x + y = 0$ $-4x+y=0$

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

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

$y = 4 x$ $y = 4x$

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

Answer 2 · 2018-03-28T12:01:18

#color(blue)(4)

$y = k x$ $y=kx$

Where $k$ $k$ is the constant of variation.

$- 4 x + y = 0$ $-4x+y=0$

Rearrange to get y in terms of x:

$y = 4 x$ $y=4x$

Compare:

$y = k x$ $y=kx$
$y = 4 x$ $y=4x$

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

$:.$

Constant of variation is:

$k=color(blue)(4)$

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