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Is 2y+3x-5=0 the equation of line q?

This topic has 1 expert reply and 0 member replies

Is 2y+3x-5=0 the equation of line q?

Post Tue Sep 12, 2017 11:04 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Is 2y+3x-5=0 the equation of line q?

    (1) The x-intercept of line q is (5,0).

    (2) The slope of line q is 2/3.

    D is the OA.

    How can I know the slope of the given equation?

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!

    GMAT/MBA Expert

    Post Tue Sep 12, 2017 11:20 am
    To find the slope (and the y-intercept), we need to rearrange the equation to slope-intercept form: y=mx+b, where m = slope and b = y-intercept.

    2y+3x-5 = 0
    2y = -3x + 5
    y = -(3/2)x + 5/2

    So we know that the slope of the line is -3/2 and the y-intercept is (0, 5/2).

    Statement 1 tells us that the y-intercept of q is NOT (0, 5/2), so this cannot be the equation. Sufficient.

    Statement 2 tells us that the slope of q is NOT -3/2, so this cannot be the equation. Sufficient.

    The correct answer is D.

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    Thanked by: Vincen

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