To find the intersection of the two lines given by the equations \( y = 2x - 2 \) and \( y = 2x + 9 \), we can set the two expressions for \( y \) equal to each other:
\[ 2x - 2 = 2x + 9 \]
Now, we can simplify the equation:
- Subtract \( 2x \) from both sides:
\[ -2 = 9 \]
This statement is false, which means that the two lines are parallel and do not intersect.
Since both lines have the same slope (which is 2), they will never meet. Thus, there are no points of intersection.