Answer:
y = - 1
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = [tex]\frac{1}{2}[/tex] when x = 8 , then
[tex]\frac{1}{2}[/tex] = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 )
4 = k
y = [tex]\frac{4}{x}[/tex] ← equation of variation
When x = - 4 , then
y = [tex]\frac{4}{-4}[/tex] = - 1
