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Product of slopes

This topic has 1 member reply
maxim730 Senior | Next Rank: 100 Posts Default Avatar
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Product of slopes

Post Tue Mar 27, 2007 6:48 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    THanks in advance for your explanation.
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    jayhawk2001 Community Manager
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    Post Tue Mar 27, 2007 9:36 pm
    Let the equation of the 2 lines l and k be

    y = m1 * x + c1
    y = m2 * x + c2

    1 - Insufficient. Product of x intercepts = +ve.
    We know that x intercept is the point at which y = 0

    For line l: x = -c1 / m1
    For line k: x = -c2 / m2

    Product = c1c2 / m1m2 > 0

    We can't infer that m1m2 > 0 since it depends on c1c2

    2 - insufficient. Y intercept is -ve

    For line l: y = c1
    For line k: y = c2

    Product = c1c2 < 0

    We can't infer m1m2 from here

    If we combine 1 and 2, we have c1c2 < 0 which implies that m1m2 < 0
    (for c1c2/m1m2 > 0)

    Hence C

    I think I'm missing some datapoint here as I haven't made use of (4,3)
    in the question stem...

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