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
schrodinger
  • schrodinger
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anonymous
  • anonymous
B is greater but I need to know why.
anonymous
  • anonymous
I'm guessing this is what it looks like. |dw:1441208259429:dw|
anonymous
  • anonymous
For B is it 0 because line P passes through the oirgin (0, 0) and any y-intercept that K may have will automatically be 0 because of the P passing through the origin?

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AravindG
  • AravindG
What is the sign of product of slopes?
anonymous
  • anonymous
A is gonna be a negative since anything multiplied by the perpendicular will give it a negative product.
AravindG
  • AravindG
Very good. Now what are the y intercepts of both these lines?
anonymous
  • anonymous
I know for line P it'll be 0 but I don't know for line K. But is the product gonna be 0 regardless because of what i stated above?
AravindG
  • AravindG
Of course 0 times anything=0 !!
AravindG
  • AravindG
So you dont have to bother about the other one.
anonymous
  • anonymous
okay but line K will have a negative y-intercept right?
AravindG
  • AravindG
Right
anonymous
  • anonymous
ok got it thanks
AravindG
  • AravindG
Yw :)

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