Provide an appropriate response.Are the graphs of y = 5x + 6 and y = 5x + 7 parallel? Explain how you know.
A. The graphs are parallel. The slope of y = 5x + 6 is 5 and the slope of y = 5x + 7 is also 5. Since the slopes of the two lines are equal, their graphs are parallel.
B. The graphs are parallel. The slope of y = 5x + 6 is 6 and the slope of y = 5x + 7 is 7. Since the slopes of the two lines are not equal, their graphs are parallel.
C. The graphs are not parallel. The slope of y = 5x + 6 is 5 and the slope of y = 5x + 7 is also 5. Since the slopes of the two lines are equal, their graphs are not parallel.
D. The graphs are not parallel. The slope of y = 5x + 6 is 6 and the slope of y = 5x + 7 is 7. Since the slopes of the two lines are not equal, their graphs are not parallel.
Answer: A
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