To determine if the equation \( y = 2x - 2 \) represents a proportional relationship, we need to check if it can be expressed in the form \( y = kx \), where \( k \) is a constant.
In the equation \( y = 2x - 2 \):
- The term \( -2 \) indicates that when \( x = 0 \), \( y \) will be \( -2 \).
- In a proportional relationship, when \( x = 0 \), \( y \) must also equal 0.
Since \( y \) does not equal 0 when \( x \) is 0 in this case, \( y = 2x - 2 \) does not represent a proportional relationship.
In summary, \( y = 2x - 2 \) is not a proportional relationship because it does not pass through the origin (0,0).