GMATinsight wrote:
In the xy-plane, both line K and L intersect with axis-X. Is K’s intercept with axis-X greater than that of line L?
1). K’s intercept with axis-Y is greater than that of L.
2). K and L have the same slope.
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Kudos Interesting question.
Let the equations of the lines be
k=mx+b
l = ny+c
Per the question, -b/m > -c/n ----> b/m < c/n ---> b/m - c/n < 0?
Statement 1, b>c but no information about m or n. Thus not sufficient to answer b/m - c/n < 0?
Statement 2, m =n . Not sufficient (remember that m,n can be <0 or > 0, we still dont know which!!)
Combining,
b>c and m =n
Consider these cases, let m =n=1
Then : b/1-c/1 > 0 as b>c
but
if m=n=-1
then
b/-1 - (-c/1) = -b+c < 0 (with b = 3, c = 2) . Thus we get 2 different answers from the combination of statements and thus E is the correct answer.
I did not understand this explanation. Firstly, The equation of a straight line should contain both x and y parameters. But the equations assumed here are different. One equation has x and other one has y.
Secondly, I did not understand this inference that we need to find that whether the below relation is true or not -
As per my opinion, the ans should be C because if two lines are having same slope then they are parallel. So, because Y intercept for the line K is > Y intercept of line L, so X intercept of line K should be > X intercept of line L. Clear and simple. Please let me know if I am missing anything.