Direct Variation Help?

Question

anonymous · Answer

Is this a direct variation:

-12x=6y

(show steps please)

If so, what is the constant of the variation

anonymous · Answer

any help..anyone

johnweldon1993 · Answer

If something is varying directly...it is in the form

y = kx

Here you have -12x = 6y

can you make your equation look like the first one?

anonymous · Answer

Okay.

6y=-12x

Right?

johnweldon1993 · Answer

Almost...

notice how you have 6y = something

the direct variation equation is just 'y' = something...so what can you do to isolate your 'y'?

anonymous · Answer

divide 6y by 6 so...

y= - 2x?

johnweldon1993 · Answer

That would be correct!

So now you have

y = -2x
compared to
y = kx

'k' = the constant of variation ...so your 'k' is ...?

anonymous · Answer

-2?

johnweldon1993 · Answer

Correct again!

anonymous · Answer

How do i know that this equation is a dircet variation though. I know it is, but I guess i have to show my work :T

johnweldon1993 · Answer

I'm not sure exactly how to explain it...other than you can see it is in the form of y = kx

if it were varying inversely for example...it would have to be in the form y = k/x

So yeah, not too sure how to show work to say it is in the correct form...

anonymous · Answer

okay thank you anyways. you helped alot!

johnweldon1993 · Answer

Anytime!