Respuesta :

Answer:

y = - 3

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 = - 1 when x = 3

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{-1}{3}[/tex] = - [tex]\frac{1}{3}[/tex]

y = - [tex]\frac{1}{3}[/tex] x ← equation of variation

When x = 9, then

y = - [tex]\frac{1}{3}[/tex] × 9 = - 3

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