Final answer:
To determine if two lines are parallel, compare their slopes. If the slopes are equal, the lines are parallel. If the slopes are different, the lines are not parallel.
Step-by-step explanation:
To determine if the lines 3x - y = 4 and -5x + y = 4 are parallel, we can compare their slopes. The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. The first equation can be rearranged to y = 3x - 4, so the slope is 3. The second equation can be rearranged to y = 5x + 4, so the slope is 5.
If two lines have the same slope, then they are parallel. Since the slopes of the two given lines are different (3 and 5), they are not parallel.
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