determine whether the two lines are parallel, perpendicular or neither x-3y=6 y=3x+4

Answer:neither Here's how you know:first, i'll simplify it so both are in slope-intercept form (y = mx + b).x-3y=6 -3y = 6 - xy = (1/3)x - 2y=3x+4   is already in slope-intercept form, yay :)these lines are neither parallel nor perpendicular. The equations of parallel lines have THE SAME SLOPES (y = mx + b --> m would be exactly the same). In contrast, perpendicular lines have NEGATIVE RECIPROCAL SLOPES (y = mx + b --> m would be -1/m). --> since the slopes of these match neither of these definitions, we know it must be neither.