If y varies inversely as x, then when x is multiplied by a number, y is divided by that number.

When x = 2, y = -4

When x = -6, x is -3 times what it was before (-6/2 = -3).

y is therefore (-2/6 or -1/3) times what it was before:

y = (-1) * (-4) / 3

= 4 / 3.

y = k/x, with k being a constant (i.e a number) that you don’t know yet.

so first, you need to find k. to do that, just plug in the values of y and x that are given, like so:

y = k/x

-4 = k/2

-4 (2) = k

therefore k = -8

so now you know your equation looks like this: y = (-8)/x

and you know you need to find y when x = -6.

so to find y, just plug in the value x = -6.

hope that clears some things up for you! 🙂

http://www.glencoe.com/sec/math/algebra/algebra1/algebra1_03/study_guide/pdfs/alg1_pssg_G091.pdf

Answer to your question is 1.33

Product Method X1 * Y1 = X2 * Y2. Try it you shall get your answer.

1.3333