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Help on a Coordiate geometry problem

This topic has 1 expert reply and 3 member replies
crackgmat007 Legendary Member Default Avatar
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Help on a Coordiate geometry problem

Post Wed May 06, 2009 9:41 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Q: The graph of which of the following equations is a straight line that is parallel to line l in the figure below?
    A. 3y - 2x = 0
    B. 3y + 2x = 0
    C. 3y + 2x = 6
    D. 2y - 3x = 6
    E. 2y + 3x = -6
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    Last edited by crackgmat007 on Sat May 09, 2009 9:39 pm; edited 1 time in total

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    ddoonie Newbie | Next Rank: 10 Posts Default Avatar
    Joined
    02 Apr 2009
    Posted:
    2 messages
    Post Fri May 08, 2009 12:17 pm
    If the answer is A, then this is how i got it...

    Find slope of line L
    y1-y2/x1-x2
    2-0/0-(-3) = 2/3

    Parallel line has same slope, so find equation with same slope..

    A. 3y-2x = 0
    3y=2x
    y=(2/3)x

    kic883 Newbie | Next Rank: 10 Posts Default Avatar
    Joined
    31 Mar 2009
    Posted:
    6 messages
    Post Sat May 09, 2009 8:38 am
    ddoonie wrote:
    If the answer is A, then this is how i got it...

    Find slope of line L
    y1-y2/x1-x2
    2-0/0-(-3) = 2/3

    Parallel line has same slope, so find equation with same slope..

    A. 3y-2x = 0
    3y=2x
    y=(2/3)x
    I got the same answer. agree with A

    Post Mon Aug 28, 2017 12:27 pm
    crackgmat007 wrote:
    Q: The graph of which of the following equations is a straight line that is parallel to line l in the figure below?
    A. 3y - 2x = 0
    B. 3y + 2x = 0
    C. 3y + 2x = 6
    D. 2y - 3x = 6
    E. 2y + 3x = -6
    If two lines are parallel, then they have the SAME SLOPE.

    The line passes through the points (0, 2) and (-3, 0)

    Applying the slope formula, we get: Slope = (2 - 0)/(0 - -3)
    = 2/3

    Now take each equation of each line (in the answer choices) and rewrite it in slope y-intercept form: y = mx + b (where m = slope and b = y-intercept)

    The rewritten equation that has m = 2/3, will be the correct answer....

    A. 3y - 2x = 0...rewrite as y =(2/3)x + 0
    DONE!
    This line has a slope of 2/3, so it must be parallel with the given line.

    Answer: A

    Cheers,
    Brent

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    Imperiex Junior | Next Rank: 30 Posts Default Avatar
    Joined
    30 Aug 2017
    Posted:
    26 messages
    Post Sun Sep 03, 2017 8:56 am
    We can see in the figure that the line l passes through the points: (-3,0) and (0,2).

    The slope of line l is given by the formula: (y2-y1) / (x2-x1).

    Let's say that (x1,y1)= (-3,0) and (x2,y2)= (0,2). The slope of the line l is: (2-0) / (0- (-3)) = 2/3.

    We want to pick from the options the equation whose graphic is parallel to the line l So, we have to pick the equation whose slope is 2/3 (because two lines are parallel if their slopes are the same).

    Let's remember that: given a line with the equation Ax+By+C=0, the slope of the line is m=-A/B.

    The slope of the equation 3y-2x=0 is m = -(-2)/3=2/3.

    So, the answer is A.

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