Answer:
[tex]\huge\boxed{y=-16}[/tex]
Step-by-step explanation:
We have to note that this represents a proportional relationship. This means that every time x increases by 1, y will increase by a proportional value.
In order to solve for proportions, we can create a proportion fraction which basically puts two variables over each other. Let's put x over y.
[tex]\frac{x}{y}[/tex]
We know that in the first fraction, x=6 and y=24.
[tex]\frac{6}{24}[/tex]
And we know that x=-4 but we have an unknown y value.
[tex]\frac{-4}{y}[/tex]
We can now set these proportions equal to each other and solve for the missing y using cross products.
- [tex]\frac{6}{24}=\frac{-4}{y}[/tex]
- [tex]y = (24 \cdot -4) \div 6[/tex]
- [tex]y = -96 \div 6[/tex]
- [tex]y = -16[/tex]
Hope this helped!
