In the xy-plane, is the slope of line L greater than the

In the xy-plane, is the slope of line L greater than the slope of line K?
(1) L passes through (5, 0) and K passes through (-5, 0).
(2) L and K intersect with each other in the 2nd quadrant.


From statement 1 alone we dont have any information regarding the slopes of the two lines .
statement 2 alone we cannot predict anything about the slope.
Now combine both the statements.
L passes from 1 st quadrant to the 2 nd quadrant.Implies slope is negative.

K is already in the second quadrant( -5,0) .For it to interect with the line L it has to have a positive slope or even if its negative ,its magnitude is higher than that of line L.

Hence 2 statements together are requried . Sorry you need to imagine the figure ,I would have helped better with a diagram !!

I got C as well but its super easy after drawing a figure

Wow Excellent question and nice trap

Bunnel

I think when we follow graphs we might miss some of the cases, i think it is better to solve by algebra? am i correct?

You should choose approach which suits you best. For me personally, it wasn't too hard to find two examples satisfying both statements and giving different answers to the question

Hi bunuel...
I must say excellent solution but one thing that i did not understand is how did u form equation for the two different lines when we do not have any point of intersection .......
Can u pls elaborate on that point.

Archit

We know that the lines intersect in 2nd quadrant, so the lines drawn are just examples.

Check algebraic approach for similar problems:
in-the-xy-plane-if-line-k-has-negative-slope-and-passes-135197.html
line-m-and-n-pass-through-point-1-2-is-the-slope-of-m-90629.html
lines-n-and-p-lie-in-the-xy-plane-is-the-slope-of-line-n-127999.html

Hope it helps.

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