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.
