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NetherCraft 0

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

y=4x-4

24x-4y=96

Answers:

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

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 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 y-intercept. 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)

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