For this case we have that an inverse variation in a function is given by:
[tex]y = k / x
[/tex]
For this case, we must find the value of the constant k.
To do this, we substitute the values of x = -4, y = 8.
We have then:
[tex]8 = k / -4
[/tex]
Clearing k we have:
[tex]k = (8) * (- 4)
k = -32[/tex]
Substituting the value of k we have that the inverse variation is:
[tex]y = -32 / x
[/tex]
Note: see attached image.
Answer:
[tex]y = -32 / x
[/tex]
See attached image.
