Question

What is the constant variation, k, of the direct variation, y=kx, through (-3,2)

Answer 1

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

Explanation:

We are to find the constant of variation,
`k`, of the direct variation,
`y = k x` given the coordinates of the point
`( - 3 , 2 )`.

Direct variation is represented by:

`y = k x`

where
`k` is the constant of variation.

Substituting the coordinates of the given point to find the value of
`k`.

`2 = k (-3)`

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

Answer 2

For this case we have that by definition, two magnitudes are directly proportional when there is a constant such that:

`y = kx`

Where:

k: It is the constant of proportionality

We must find the value of "k" when
`(x, y): (- 3,2)`

`k = \frac {y} {x} = \frac {2} {- 3} = - \frac {2} {3}`

Answer:

`k = - \frac {2} {3}`