anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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 \[m * \frac{ -1 }{ m }\]
anonymous
  • anonymous
-1
anonymous
  • anonymous
right, so we know the result for A is -1.

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anonymous
  • anonymous
wait why is it -1? how did u get that?
anonymous
  • anonymous
That's what we just did. I was just restating the result
anonymous
  • anonymous
I don't understand how we got that....
anonymous
  • anonymous
we got -1 from the multiplication you did. m*(-1/m)
anonymous
  • anonymous
yea but where and how did u get that?
anonymous
  • anonymous
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).
anonymous
  • anonymous
oh okay. but for the problem itself it didn't give the slope
anonymous
  • anonymous
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
anonymous
  • anonymous
hmmmm ok
anonymous
  • anonymous
so whats next?
anonymous
  • anonymous
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.
anonymous
  • anonymous
Okay so i get B but for A how do we know it's a positive slope and not a negative one?
anonymous
  • anonymous
|dw:1439429848426:dw|
anonymous
  • anonymous
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
anonymous
  • anonymous
|dw:1439429888384:dw|
anonymous
  • anonymous
OHHHHHHHHHHHHHHHHHHHHHHHHHHHH because they're perpendicular they will automatically be a negative for the product!!!!!!!!!!!!!!
anonymous
  • anonymous
<333333 thank you
anonymous
  • anonymous
right :)
anonymous
  • anonymous
you're welcome
anonymous
  • anonymous
so B is greater
anonymous
  • anonymous
yes
anonymous
  • anonymous
thank u =)

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