Since y varies directly with x then
[tex]\begin{gathered} \frac{y}{x}=k \\ \text{Where k is the constant of proportionality} \end{gathered}[/tex]So,
[tex]\begin{gathered} \frac{y}{x}=\frac{6}{-3} \\ \frac{y}{x}=-2 \end{gathered}[/tex]Then, -2 is the constant of proportionality. So that,
[tex]\begin{gathered} \frac{y}{x}=-2 \\ \frac{24}{x}=-2 \\ \text{Solving for x you have} \\ \frac{24}{x}\cdot x=-2\cdot x \\ 24=-2x \\ \frac{24}{-2}=\frac{-2x}{-2} \\ -12=x \end{gathered}[/tex]Therefore, if y=6 when x=-3, then x=-12 when y=4.
