Answer
$k=\frac{1}{24}$, $y=\frac{1}{24}x$
Work Step by Step
We know that the direct variation equation is in the form $y=kx$ (where k is the constant of variation). Therefore, we can plug in the given values to find the value of k.
$\frac{1}{2}=12k$
Divide both sides by 12.
$k=\frac{1}{24}$
So the direct variation equation is $y=\frac{1}{24}x$.