Parallel: Is y = 3y -7 and y = -3x -2 parallel? Why or why not?

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happiness

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Is y = 3y -7 and y = -3x -2 parallel? Why or why not? I think yes since there slopes are both 3, they just have opposite sides?

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happiness said:
Is y = 3y -7 and y = -3x -2 parallel? Why or why not? I think yes since there slopes are both 3, they just have opposite sides?

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I mean *opposite signs*

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happiness said:
Is y = 3y -7 and y = -3x -2 parallel? Why or why not? I think yes since there slopes are both 3, they just have opposite sides?

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Is that correct?
 
happiness said:
Is y = 3y -7 and y = -3x -2 parallel? Why or why not? I think yes since there slopes are both 3, they just have opposite signs?
Click to expand...

You can check for yourself. Try graphing both lines (by plotting points, or any other way), and see whether they are parallel.

Then you can answer the "why" question (that is, what about the equations tells you this).
 
Dr.Peterson said:
You can check for yourself. Try graphing both lines (by plotting points, or any other way), and see whether they are parallel.

Then you can answer the "why" question (that is, what about the equations tells you this).
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Thank you

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happiness said:
Is y = 3y -7 and y = -3x -2 parallel? Why or why not? I think yes since there slopes are both 3, they just have opposite sides?

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Opposite numbers are NOT equal! 7 \(\displaystyle \neq\) -7, -19 \(\displaystyle \neq\) 19,..... So even if the slopes were 3 and -3, which they aren't, the lines would NOT be parallel because the lines had different slopes. 3 and -3 are as different as 2 and -4 !!!!!
 
happiness said:
Is y = 3y -7 and y = -3x -2 parallel? Why or why not? I think yes since there slopes are both 3, they just have opposite sides?

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No,, I do not expect the first equation is correct.

Check the source (again?) to see if it should be "y = 3x - 7" instead.
 
happiness said:
That's what my question is. I'll ask my teacher. Thanks.

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In an earlier post you said that the slopes were 3 and-3. In my earlier post I said that these numbers were not the same.
What is the requirement for two lines to be parallel?
 
Jomo said:
In an earlier post you said that the slopes were 3 and-3. In my earlier post I said that these numbers were not the same.
What is the requirement for two lines to be parallel?
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same slopes

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happiness said:
same slopes

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OK, good. So for two lines to be parallel they need to have the same slope. Well you know the slopes of each of the given lines, so are the two lines parallel or not?
 
Jomo said:
OK, good. So for two lines to be parallel they need to have the same slope. Well you know the slopes of each of the given lines, so are the two lines parallel or not?
Click to expand...
not parallel

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happiness said:
same slopes

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No those are not lines with same slopes!

If you plot those, you will see that one of those slopes UP to the right - and the other slopes DOWN to the right. That is NOT EQUAL!
 
Subhotosh Khan said:
No those are not lines with same slopes!

If you plot those, you will see that one of those slopes UP to the right - and the other slopes DOWN to the right. That is NOT EQUAL!
Click to expand...
The OP was answering my question which was what is the requirement for two lines to be parallel. At least I hope that was what the response meant.
 
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