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

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

Where:

k: It is the constant of proportionality

We must find the value of "k" when

Step-by-step explanation:

We are to find the constant of variation, , of the direct variation, given the coordinates of the point .

Direct variation is represented by:

where   is the constant of variation.

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