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anonymous

  • one year ago

Lines k and p are perpendicular, neither is vertical and p passes through the origin. Which is greater? A. The product of the slopes of lines k and p B. The product of the y-intercepts of lines k and p

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  1. anonymous
    • one year ago
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    Perpendicular lines have opposite reciprocal slope. If we say the slope of line k is \(m\), then the slope of line p would have to be \((-\frac{ 1 }{ m})\). What's \[m * \frac{ -1 }{ m }\]

  2. anonymous
    • one year ago
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    -1

  3. anonymous
    • one year ago
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    right, so we know the result for A is -1.

  4. anonymous
    • one year ago
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    wait why is it -1? how did u get that?

  5. anonymous
    • one year ago
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    That's what we just did. I was just restating the result

  6. anonymous
    • one year ago
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    I don't understand how we got that....

  7. anonymous
    • one year ago
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    we got -1 from the multiplication you did. m*(-1/m)

  8. anonymous
    • one year ago
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    yea but where and how did u get that?

  9. anonymous
    • one year ago
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    Perpendicular lines have opposite reciprocal slope. If we say the slope of line k is m, then the slope of line p would have to be (−1/m).

  10. anonymous
    • one year ago
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    oh okay. but for the problem itself it didn't give the slope

  11. anonymous
    • one year ago
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    we don't need to know the slope. Knowing the relationship between the two lines is enough because they don't ask for the actual slopes. They only ask for their products

  12. anonymous
    • one year ago
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    hmmmm ok

  13. anonymous
    • one year ago
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    so whats next?

  14. anonymous
    • one year ago
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    now we look at B. It says line p passes through the origin, so that means its y-intercept is 0. We don't need to know the y-intercept of line k because any number multiplied by 0, is 0. That means the result for B is 0.

  15. anonymous
    • one year ago
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    Okay so i get B but for A how do we know it's a positive slope and not a negative one?

  16. anonymous
    • one year ago
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    |dw:1439429848426:dw|

  17. anonymous
    • one year ago
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    it doesn't matter. If we said k had a slope of -m, then the opposite reciprocal of that would be 1/m. When you multiply you'd still get -1

  18. anonymous
    • one year ago
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    |dw:1439429888384:dw|

  19. anonymous
    • one year ago
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    OHHHHHHHHHHHHHHHHHHHHHHHHHHHH because they're perpendicular they will automatically be a negative for the product!!!!!!!!!!!!!!

  20. anonymous
    • one year ago
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    <333333 thank you

  21. anonymous
    • one year ago
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    right :)

  22. anonymous
    • one year ago
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    you're welcome

  23. anonymous
    • one year ago
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    so B is greater

  24. anonymous
    • one year ago
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    yes

  25. anonymous
    • one year ago
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    thank u =)

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