Question

More Help please. Will Fan and Medal But no direct answers.

Answer 1

Here is the question.

Answer 2

Direct variation is represented by:

y = kx

Where 'k' is the constant.

Plug in what we know, y = -21, x = 3.

-21 = k(3)

-21 = 3k

Divide 3 to both sides, what's -21 / 3?

Answer 3

-7?

Answer 4

Yes, so -7 is our constant, we can plug that back in:

y = kx

y = -7x

Answer 5

That's our equation.

Answer 6

Theres 2 answers

Answer 7

Oh, in that case we solve for \(\dfrac{x}{y}\) again.

y = -7x

Multiply -7 to both sides:

y = -7x

-7y = x

Divide 'y' to both sides, what do you get? @r_josh10

Answer 8

Umm Im a bit confused... sorry

Answer 9

Oh, actually we divide 'x' to both sides:

\(y = -7x\)

\(\dfrac{y}{x} = \dfrac{-7x}{x}\)

The x's on the right cancel out:

\(\dfrac{y}{x} = \dfrac{-7 \cancel x}{\cancel x}\)

Leaving us with what?

Answer 10

Y over x equals -7?

Answer 11

Yep!

Answer 12

That's our 2nd equation.

So we have:

\(-7x = y\)

and

\(\dfrac{y}{x} = -7\)

Answer 13

Thanks!