Because both lines have the same slope but different y-intercepts, we conclude that the lines are parallel.
Here we have the two lines:
6x - 2y = -2
y = 3x + 12
If we write both of these in the slope-intercept form, we get:
y = (-2 - 6x)/-2 = 3x + 1
y = 3x + 12
So, as you can see, both lines have the same slope but different y-intercepts. That means that the two lines are parallel, so they never do intercept.
Then we can conclude that the correct option is parallel.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1