Question

Find the constant of variation k for the direct variation. 4x = -6(y)

Answer 1

Answer:
`k=-(2)/(3)`

Explanation:

By definition, a direct varition is expressed as following:

`y=kx`

Then, y is directly proportional to x and k is the constant of variation.

Therefore, given the direct variation:

`4x=-6y`

You must solve for the variable y as you can see below:

`4x=-6y\\\\y=-(4)/(6)x\\\\y=-(2)/(3)x`

Therefore, as you can see, the constant of variation is the following:

`k=-(2)/(3)`