Answer:
36
Step-by-step explanation:
Equation for an inversely proportional relation, where y is inversely proportional to x:
[tex] y = \dfrac{k}{x} [/tex]
Here we have:
[tex] \alpha = \dfrac{k}{\beta} [/tex]
We use the known ordered pair to find k.
[tex] -6 = \dfrac{k}{12} [/tex]
[tex] k = -72 [/tex]
The relation is:
[tex] \alpha = \dfrac{-72}{\beta} [/tex]
For beta = -2,
[tex] \alpha = \dfrac{-72}{-2} [/tex]
[tex] \alpha = 36 [/tex]
