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.

Question

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.

anonymous · Answer

B is greater but I need to know why.

anonymous · Answer

I'm guessing this is what it looks like. |dw:1441208259429:dw|

anonymous · Answer

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?

aravindg · Answer

What is the sign of product of slopes?

anonymous · Answer

A is gonna be a negative since anything multiplied by the perpendicular will give it a negative product.

aravindg · Answer

Very good. Now what are the y intercepts of both these lines?

anonymous · Answer

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 · Answer

Of course 0 times anything=0 !!

aravindg · Answer

So you dont have to bother about the other one.

anonymous · Answer

okay but line K will have a negative y-intercept right?

aravindg · Answer

Right

anonymous · Answer

ok got it thanks

aravindg · Answer

Yw :)