In a direct variation, the relationship between two variables \( y \) and \( x \) can be expressed with the equation:
\[ y = kx \]
where \( k \) is the constant of variation. To find \( k \), we can use the point (6, –2).
Substituting \( x = 6 \) and \( y = -2 \) into the equation:
\[ -2 = k(6) \]
Now, solve for \( k \):
\[ k = \frac{-2}{6} = -\frac{1}{3} \]
Now that we have found \( k \), we can write the equation of the direct variation:
\[ y = -\frac{1}{3}x \]
So, the equation of the direct variation that includes the point (6, –2) is:
\[ y = -\frac{1}{3}x \]