Are the graphs of the lines in the pair parallel? Explain.
y=4x4
24x4y=96
Answers:
A. Yes, since the slopes are the same and the yintercepts are different.
B. No, since the yintercepts are different.
C. No, since the slopes are different.
D. Yes, since the slopes are the same and the yintercepts are the same.
4 Answers

C

y = 4x – 4. So the slope is 4.
24x – 4y = 96
6x – y = 24
y = 6x – 24. So the slope is 6.
Answer: (C) No, since the slopes are different.

No, the lines are not parallel, because the slopes are different. Recall that the equation y=mx+b, m is the slope and b is the yintercept. So for the first equation m=4, and reducing the second equation gives m=6.

24x – 4y = 96 reduces to y = 6x – 24
comparing, we can see that the slopes are different, therefore the lines are not parallel. (C)