Answer:
y = - [tex]\frac{24}{7}[/tex]
Step-by-step explanation:
Given 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 = 6 when x = - 7 , then
6 = - 7k ( divide both sides by - 7
- [tex]\frac{6}{7}[/tex] = k
y = - [tex]\frac{6}{7}[/tex] x ← equation of variation
When x = 4 , then
y = - [tex]\frac{6}{7}[/tex] × 4 = - [tex]\frac{24}{7}[/tex]
