Compare the following two equations with additive relationships: x=3y-12 and y=-3x+4. Determine whether the lines of these equations are parallel or perpendicular, if they go through the origin, and if they share a y-intercept. Show your work.

A) The lines are parallel, they don't go through the origin, and they don't share a y-intercept.
B) The lines are perpendicular, they go through the origin, and they don't share a y-intercept.
C) The lines are parallel, they don't go through the origin, and they share a y-intercept.
D) The lines are perpendicular, they go through the origin, and they share a y-intercept.