Question

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

Answer 1

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

Step-by-step 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:

$4x=-6y\\\\y=-\frac{4}{6}x\\\\y=-\frac{2}{3}x$

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

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