Final answer:
The lines 3x+3y=-1 and -x+4y=-4 are not parallel because their slopes are different.
Step-by-step explanation:
The lines 3x+3y=-1 and -x+4y=-4 are not parallel. To determine if two lines are parallel, we need to compare their slopes. The slopes of these two lines are different, so they are not parallel. Let's rewrite them in slope-intercept form, y = mx + b:
For 3x+3y=-1,
3y = -3x - 1
y = -x - 1/3
For -x+4y=-4,
4y = x - 4
y = x/4 - 1
From the slope-intercept form, we can see that the slopes of the lines are -1 and 1/4, which are different. Therefore, the lines are not parallel.