Question

9.
Are the graphs of the lines in the pair parallel? Explain.

y = 5x + 6
–18x + 3y = –54

A. Yes, since the slopes are the same and the y-intercepts are the same.

B. No, since the y-intercepts are different.

C. No, since the slopes are different.

D. Yes, since the slopes are the same and the y-intercepts are different.

Answer 1

Answer:

C. No, since the slopes are different.

Step-by-step explanation:

Parallel lines have the same slope. Therefore we only need to compare the slopes of the two lines. Put them both in y=mx + b form so slope is easy to determine. The slopes are different, so the lines are not parallel.

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Parallel lines have the same slope. Therefore we only need to compare the slopes of the two lines. Put them both in y=mx + b form so slope is easy to determine.  

 

y = 5x + 6 has a slope of 5

 

-18x + 3y = -54

+18x           +18x

 

3y = 18x - 54

 

Divide both sides by 3 to get

 

y = 6x - 18  

 

The slopes are different, so the lines are not parallel.