Step 1:
Write the formula connecting y and x.
Step 2:
[tex]\begin{gathered} y\propto\frac{1}{x}\text{ } \\ x\text{y = k} \end{gathered}[/tex]
Step 3:
Find k when x = -6 and y = 1
[tex]\begin{gathered} k\text{ = xy} \\ k\text{ = -6 }\times\text{ 1} \\ k\text{ = -6} \end{gathered}[/tex]
Step 4
Write the formula connecting x and y
[tex]\text{xy = -6}[/tex]
find x when y = 2
[tex]\begin{gathered} \text{xy = -6} \\ 2x\text{ = -6} \\ \text{x = }\frac{-6}{2} \\ \text{x = -3} \end{gathered}[/tex]
Final answer
x = -3
