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

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    Lines Parallel Slope
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Discussion Overview

The discussion centers on identifying which equation represents a line parallel to the equation 3y-1=2x. Participants explore different methods to determine the slope of the given line and analyze various answer choices. The scope includes mathematical reasoning and problem-solving related to linear equations.

Discussion Character

  • Mathematical reasoning, Debate/contested

Main Points Raised

  • Some participants use the slope-intercept form (y=mx+b) to find the slope of the line represented by 3y-1=2x, calculating it as 2/3.
  • Participants analyze multiple answer choices (A, B, C, D) to determine their slopes, with varying results reported.
  • One participant notes that the answer key indicates choice B as correct, but expresses uncertainty about the correctness of the slopes derived from the other choices.
  • Another participant suggests that there may be a typo in the text, indicating that none of the provided answers match the expected slope of 2/3.
  • One participant agrees with the assessment that none of the given answers are correct.

Areas of Agreement / Disagreement

Participants generally disagree on the correctness of the provided answer choices, with some asserting that none of the options are correct based on their calculations.

Contextual Notes

There is mention of potential typos in the problem text, and participants express uncertainty regarding the accuracy of their slope calculations and the answer key.

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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