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GMAT Prep Ques (Equation of line)

This topic has 1 expert reply and 4 member replies
dferm Master | Next Rank: 500 Posts Default Avatar
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GMAT Prep Ques (Equation of line)

Post Fri Oct 03, 2008 7:31 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    In the xy-plane, the line with equation ax+by+c=o, where abc doesn't equal 0, has slope 2/3. What is the value of b?

    (1) a = 4
    (2) c = -6

    Please help and offer methods or strategies...

    Thanks.

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    Morgoth Master | Next Rank: 500 Posts
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    Post Fri Oct 03, 2008 9:15 am
    dferm wrote:
    In the xy-plane, the line with equation ax+by+c=o, where abc doesn't equal 0, has slope 2/3. What is the value of b?

    (1) a = 4
    (2) c = -6

    Please help and offer methods or strategies...

    Thanks.
    For equation ax+by+c=o
    slope = -a/b

    statement (1)
    a=4
    -a/b = 2/3
    -4/b=2/3
    b=-6
    Sufficient.

    Statement (2) It does not give us anything to work with.

    Thus, A.

    OA?

    dferm Master | Next Rank: 500 Posts Default Avatar
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    Post Fri Oct 03, 2008 10:43 am
    How are you getting -a/b? I believe the answer to be E...

    Morgoth Master | Next Rank: 500 Posts
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    Post Sat Oct 04, 2008 10:23 am
    dferm wrote:
    How are you getting -a/b? I believe the answer to be E...
    Answer has to be A, kindly check the OA.

    -a/b is a formula for slope

    x intercept = -c/a

    y- intercept = -c/b

    Kindly refer the below link for further clarifications.

    http://en.wikipedia.org/wiki/Slope

    YTarhouni Newbie | Next Rank: 10 Posts Default Avatar
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    Post Sun Sep 17, 2017 9:08 pm
    This is 750+ question.

    it is definitely B.

    any line will cross the X-ax if the slop is not zero.

    A doesn't tell us anything about the slop
    B tells us ab>0 hence neither a nor b equals zero. since -a/b is the slop of this line and since a is not zero, then the slop is not zero.

    answer is B

    Post Mon Sep 18, 2017 3:10 am
    dferm wrote:
    In the xy-plane, the line with equation ax+by+c=o, where abc doesn't equal 0, has slope 2/3. What is the value of b?

    (1) a = 4
    (2) c = -6
    Rephrase ax + by + c = 0 in the form y=mx + b:
    ax + by + c = 0
    by = -ax - c
    y = (-a/b)x - c/b.

    The expression in blue represents the slope of the line.
    Since the line has a slope of 2/3, we get:
    -a/b = 2/3.

    The determine the value of b, we need to know the value of a.
    Question stem, rephrased:
    What is the value of a?

    Statement 1: a=4.
    SUFFICIENT.

    Statement 2: c=-6.
    INSUFFICIENT.

    The correct answer is A.

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