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Raxit85
In the XY-coordinate plane, is the product of slopes of line L and line K negative?

(1) The product of the x-intercepts of line L and K is positive.
(2) The product of the y-intercepts of line L and k is negative.

Let the line L be y=m1x+b1
and line K be y=m2x+b2

Statement 1 :
(-b1/m1)*(-b2/m2)>0 we don't know anything about b1 and b2. Hence insufficient.

Statement 2 :

b1.b2<0 here we have no information about the slopes m1 and m2 of two lines. Hence insufficient.

Statement 1+2

From 1 (-b1/m1)*(-b2/m2)>0
or (b1/m1)*(b2/m2)>0...(1)

From 2 we have b1.b2<0
So in order for (1)to stand true m1.m2 must be less than zero i.e negative.

Answer C

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