Respuesta :

Answer:

y = - [tex]\frac{1}{4}[/tex] x

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 x = 24, y = - 6

- 6 = 24k ( divide both sides by 24 )

[tex]\frac{-6}{24}[/tex] = k , that is

k = - [tex]\frac{1}{4}[/tex]

y = - [tex]\frac{1}{4}[/tex] x ← equation of variation