In inverse variation, the relationship between \( x \) and \( y \) can be expressed as:
\[ xy = k \]
where \( k \) is a constant.
Given that \( y = -4 \) when \( x = 14 \), we can find \( k \) as follows:
\[ k = xy = 14 \times (-4) = -56 \]
Now that we have \( k = -56 \), we can find \( x \) when \( y = 28 \) using the inverse variation formula:
\[ xy = k \] \[ x \cdot 28 = -56 \]
To find \( x \), we can solve for it:
\[ x = \frac{-56}{28} = -2 \]
Thus, when \( y = 28 \), \( x \) is \( -2 \).