Answer:
the correct answer is option c) neither parallel nor perpendicular.
Step-by-step explanation:
To determine whether the two lines y = 7x - 14 and y = -7x + 5 are parallel, perpendicular, or neither, we need to compare their slopes.
The slope-intercept form of a linear equation is y = mx + b, where m represents the slope of the line. In this case, the slope of the first line y = 7x - 14 is 7, and the slope of the second line y = -7x + 5 is -7.
If two lines have slopes that are equal, then they are parallel. However, if the slopes are negative reciprocals of each other (their product is -1), then the lines are perpendicular. If neither of these conditions is met, then the lines are neither parallel nor perpendicular.
Let's calculate the slopes of the given lines:
The slope of y = 7x - 14 is 7.
The slope of y = -7x + 5 is -7.
Since the slopes are not equal, and their product is not -1, we can conclude that the two lines are neither parallel nor perpendicular.
Therefore, the correct answer is option c) neither parallel nor perpendicular.
