Answer: [tex]k=-\frac{2}{3}[/tex]
Step-by-step explanation:
By definition, a direct varition is expressed as following:
[tex]y=kx[/tex]
Then, y is directly proportional to x and k is the constant of variation.
Therefore, given the direct variation:
[tex]4x=-6y[/tex]
You must solve for the variable y as you can see below:
[tex]4x=-6y\\\\y=-\frac{4}{6}x\\\\y=-\frac{2}{3}x[/tex]
Therefore, as you can see, the constant of variation is the following:
[tex]k=-\frac{2}{3}[/tex]
