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Lines P, Q and R are parallel to each other.Is the slope ok

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Re: Lines P, Q and R are parallel to each other.Is the slope ok [#permalink]
Bunuel wrote:
GMATBaumgartner wrote:
Lines P, Q and R are parallel to each other. Is the slope of the line P positive?

(1) Line R passed through (6, 2).
(2) Line P and Q passes through (–6, 2) and (–6, –2) respectively.

when I saw that the stmt (2) gives us a line parallel to y-axis i marked B as sufficient. Doesnt such a line have 'infinite slope'. I was confused if this information is sufficient. Please advise.

Statement (2) means that line P passes through (–6, 2) and line Q passes through (–6, –2), not that each line passes through both points (though I agree that it cold have been worded better).

Now, when we consider the two statements together we just know that: line R passed through (6, 2), line P passes through (–6, 2) and line Q passes through (–6, –2) plus that these lines are parallel. Clearly, the slope of line P can be positive as well as negative. Not sufficient.

You are absolutely right: the two lines not necessarily both pass through the two given points. My mistake. It is clearly stated that they pass through ... respectively. So not even complaint about the wording.

Originally posted by EvaJager on 17 Oct 2012, 05:53.
Last edited by EvaJager on 17 Oct 2012, 06:18, edited 1 time in total.
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Re: Lines P, Q and R are parallel to each other.Is the slope ok [#permalink]
And i completely missed it.......
thanks!
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Re: Lines P, Q and R are parallel to each other.Is the slope ok [#permalink]
An important property to remember is that ''parallel lines have equal slopes''.

Statement 1: Line R passed through (6,2), therefore the line can be from III - I, II-IV & II-I quadrant, resulting in different slopes. Not sufficient.

Statement 2: Similar logic for line P & Q.

Even combining the statement is not sufficient. Hence, ''E''
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Re: Lines P, Q and R are parallel to each other.Is the slope ok [#permalink]
Bunuel, I have a question here,

If we use Two Intercept Form for the Equation of a Line - x/a +y/b = 1, where a is the x-intercept and b is the y-intercept.

we can derive line equation of each points given and we can ultimately derive the slope of the each line. Am i missing something here
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Re: Lines P, Q and R are parallel to each other.Is the slope ok [#permalink]
deepthit wrote:
Bunuel, I have a question here,

If we use Two Intercept Form for the Equation of a Line - x/a +y/b = 1, where a is the x-intercept and b is the y-intercept.

we can derive line equation of each points given and we can ultimately derive the slope of the each line. Am i missing something here

For each line we have only one point it passes through. How are you going to derive an equation from that?
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Re: Lines P, Q and R are parallel to each other.Is the slope ok [#permalink]
My 2 cents:

the 3 lines are parallel. So slope of any line will be equal to slope of the other lines.
Now given this fact and moving forward each line has only one point and we need two points to determine the slope of the given line.

Thus we cannot determine the slope of any line and hence cannot have a concrete verdict.

Let me know if this approach is correct.
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Re: Lines P, Q and R are parallel to each other.Is the slope ok [#permalink]
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Re: Lines P, Q and R are parallel to each other.Is the slope ok [#permalink]
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