Final answer:
To determine which equations represent lines parallel to y = 6x + 2, compare their slopes. Two lines are parallel if and only if their slopes are equal.
Step-by-step explanation:
In order to determine which equations represent lines parallel to y = 6x + 2, we need to compare their slopes. The equation y = mx + b represents a line with slope m. Two lines are parallel if and only if their slopes are equal.
The slope of the given line y = 6x + 2 is 6. Therefore, any equations with a slope of 6 will be parallel to it.
Using this criterion, the equations y = 6x - 12 and y = 3x + 2 represent lines parallel to y = 6x + 2, because they have the same slope of 6.