Since y varies directly as x, then we set the equation:
[tex]y=k\cdot x[/tex]
Substituting x= -6, y=4, and solving for k we get:
[tex]\begin{gathered} 4=k\cdot(-6) \\ k=-\frac{4}{6}=-\frac{2}{3} \end{gathered}[/tex]
Then, taken x=14 we get:
[tex]\begin{gathered} y=-\frac{2}{3}\cdot(14_{}) \\ y=-\frac{28}{3} \end{gathered}[/tex]
