Answer: [tex]k=-\frac{1}{9}[/tex]
Step-by-step explanation:
1. You kwnow that x and y vary directly, therefore, the expression has the following form:
[tex]y=kx[/tex]
Where [tex]k[/tex] is the constant of variation.
2. You have that [tex]x=6[/tex] and [tex]y=-\frac{2}{3}[/tex], so, if you substitute these values and then you solve for the constant of variation, you obtain the following result:
[tex]k=\frac{y}{x}\\k=\frac{-\frac{2}{3}}{6}\\k=-\frac{1}{9}[/tex]
3. The answer is the first option.
