Answer:
D
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = - 12 when x = 6, thus
- 12 = 6k ( divide both sides by 6 )
- 2 = k
y = - 2x ← equation of variation
When y = - 4, then
- 4 = - 2x ( divide both sides by - 2 )
2 = x → D