Answer:
y = - [tex]\frac{3}{2}[/tex] x
Step-by-step explanation:
Given that x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = - 4, y = 6, thus
6 = - 4k ( divide both sides by - 4)
[tex]\frac{6}{-4}[/tex] = k, or k = - [tex]\frac{3}{2}[/tex]
y = - [tex]\frac{3}{2}[/tex] x ← equation of variation
