Provide an appropriate response.Are the graphs of y = 6x + 8 and y = 6x - 1 parallel? Explain how you know.
A. The graphs are parallel. The slope of y = 6x + 8 is 6 and the slope of y = 6x - 1 is also 6. Since the slopes of the two lines are equal, their graphs are parallel.
B. The graphs are parallel. The slope of y = 6x + 8 is 8 and the slope of y = 6x - 1 is -1. Since the slopes of the two lines are not equal, their graphs are parallel.
C. The graphs are not parallel. The slope of y = 6x + 8 is 6 and the slope of y = 6x - 1 is also 6. Since the slopes of the two lines are equal, their graphs are not parallel.
D. The graphs are not parallel. The slope of y = 6x + 8 is 8 and the slope of y = 6x - 1 is -1. Since the slopes of the two lines are not equal, their graphs are not parallel.
Answer: A
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