Respuesta :

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!

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