Question

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

Answer 1

Answer:

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

Step-by-step 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 $k$.

$2 = k (-3)$

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

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:

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