Answer:
y = - 34
Step-by-step explanation:
Given y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = - 51 when x = 3
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{-51}{3}[/tex] = - 17
y = - 17x ← equation of variation
When x = 2, then
y = - 17 × 2 = - 34
