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