MHB Which Equation Represents a Line Parallel to 3y-1=2x?

AI Thread Summary
The discussion centers on identifying an equation that represents a line parallel to the line given by 3y-1=2x. The slope of the original line is calculated to be 2/3. Participants analyze the slopes of the provided options, concluding that none of them match the required slope for parallelism. There is a suggestion that a typo may exist in the original problem. Ultimately, the consensus is that none of the answer choices are correct.
flnursegirl
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The graph of which of the following equations is a straight line parallel to the graph of 3y-1=2x?
A: -3x + 2y = -2
B: -2x + y = 6
C: -2x + 2y = 3
D: -x + 3y = -2

Can you show the work when you answer please? Thanks
 
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flnursegirl said:
The graph of which of the following equations is a straight line parallel to the graph of 3y-1=2x?
A: -3x + 2y = -2
B: -2x + y = 6
C: -2x + 2y = 3
D: -x + 3y = -2

Can you show the work when you answer please? Thanks
Usually we ask you to show your work, so we can see where you got stuck.

There are a number of ways to find the slope of a line in the plane-which ones do you know?
 
Using y=mx+b I got y=2/3x+1 for the first line.

For choice A I got y=3/2x-2
For choice B I got y=2x+6 (the key says this is the answer)
For choice C I got y=1x=3
For choice D I got y=1/3x-2

None of these look correct to me using this method.
 
flnursegirl said:
Using y=mx+b I got y=2/3x+1 for the first line.

For choice A I got y=3/2x-2
For choice B I got y=2x+6 (the key says this is the answer)
For choice C I got y=1x+3
For choice D I got y=1/3x-2

None of these look correct to me using this method.
That's a good method, and none of the answers give the same "$m$" value, so it appears your text has a typo. You should use parentheses when you use the "/" symbol, so no one confuses

y = 3/2x - 2, whereby you mean: y = (3/2)x - 2 with:

y = 3/(2x - 2).
 

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Hey flnursegirl! ;)

I agree with your method and with Deveno - none of the given answers is correct.
 
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