Answer:
y = - 24
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 = - 3
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{12}{-3}[/tex] = - 4
y = - 4x ← equation of variation
When x = 6, then
y = - 4 × 6 = - 24
