Final answer:
Both lines have a slope of 3/2, indicating that they are parallel to each other.
Step-by-step explanation:
To determine if the given lines are parallel, perpendicular, or neither, we first need to write the equations in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
The first equation is already in slope-intercept form, with a slope (m) of 3/2.
To rewrite the second equation (3x - 2y = 8) in slope-intercept form, we can solve it for y:
- 3x - 2y = 8
- -2y = -3x + 8
- y = (3/2)x - 4
The second equation has a slope (m) of 3/2, which is the same as the slope of the first equation. Since both lines have the same slope, we conclude that the lines are parallel.