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

In summary: It seems that there is a typo in the question. In summary, none of the given equations have a slope that is parallel to the graph of 3y-1=2x.
  • #1
flnursegirl
8
0
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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  • #2
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?
 
  • #3
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.
 
  • #4
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).
 
  • #5

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  • #6
Hey flnursegirl! ;)

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

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

What is the slope of a line?

The slope of a line is a measure of its steepness, or how much the line rises or falls as it moves horizontally. It is calculated by dividing the change in the y-coordinates by the change in the x-coordinates between any two points on the line.

How do you find the slope of a line?

To find the slope of a line, choose any two points on the line and label their coordinates as (x1, y1) and (x2, y2). Then, use the formula m = (y2 - y1) / (x2 - x1) to calculate the slope.

What does a positive slope indicate?

A positive slope indicates that the line is increasing from left to right. This means that as the x-coordinate increases, the y-coordinate also increases.

What does a negative slope indicate?

A negative slope indicates that the line is decreasing from left to right. This means that as the x-coordinate increases, the y-coordinate decreases.

How do you determine if two lines are parallel?

Two lines are parallel if they have the same slope. This means that they have the same steepness and will never intersect. To determine if two lines are parallel, find the slope of each line and then compare them. If the slopes are equal, the lines are parallel.

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