In a inverse variation you have two variables, in this case (x,y) x and y, and a constant value k in the form:
[tex]y=\frac{k}{x}[/tex]When x increase y decreases and when x decreases y increases (inverse variation)
As you have two (x,y) data;
(-4, 3 ) and (-1 , n)
And both have the same constant k.
[tex]\begin{gathered} 3=\frac{k}{-4} \\ \\ n=\frac{k}{-1} \end{gathered}[/tex]Solve in the first equation the k:
[tex]\begin{gathered} k=-4\cdot3 \\ k=-12 \end{gathered}[/tex]Use the value of k= -12 to find n in the second equation:
[tex]n=\frac{-12}{-1}=12[/tex]Then , the value of n is 12