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In xy-coordinate plane, lines j and k intersect at the point (5, 0)

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In xy-coordinate plane, lines j and k intersect at the point (5, 0)  [#permalink]

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New post 10 Jun 2017, 13:20
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In xy-coordinate plane, lines j and k intersect at the point (5, 0). If both lines have defined slopes, is the y-intercept of line j greater than the y-intercept of line k?

1) The slope of line k is greater than the slope of line j.
2) Line j has a negative slope

*kudos for all correct solutions

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Re: In xy-coordinate plane, lines j and k intersect at the point (5, 0)  [#permalink]

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New post 10 Jun 2017, 18:44
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GMATPrepNow wrote:
In xy-coordinate plane, lines j and k intersect at the point (5, 0). If both lines have defined slopes, is the y-intercept of line j greater than the y-intercept of line k?

1) The slope of line k is greater than the slope of line j.
2) Line j has a negative slope

*kudos for all correct solutions


Hi...
Statement I tells us that slope of k is more than that of J..
Slope is nothing but change in y/change in x.
Since both intersect at one point, with given info we can find relation, not the numeric difference, of y intercept with each other
Suff
Statement II talks only of one linee
Insufficient

A
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Re: In xy-coordinate plane, lines j and k intersect at the point (5, 0)  [#permalink]

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New post 13 Jun 2017, 03:56
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how is A the answer?
if J has negative slope and K negative slope then y intercept of k is greater.
if J has positive slope and K positive slope then y intercept of j is greater.
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Re: In xy-coordinate plane, lines j and k intersect at the point (5, 0)  [#permalink]

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New post 13 Jun 2017, 06:59
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Ans :A
St 1: Slope of line K > Slope of line J
There are three cases
1. Both lines have - ve Slope
Y intercept of J >Y intercept of K
2 Both lines have +ve Slope
Y intercept of J > Y intercept of K
3 One line +ve and other - ve
Y intercept of J >Y intercept of K

All three cases gives same answer, hence St I sufficient

St II line J has - ve Slope

If both lines have - ve Slope and 1 Slope of line K > Slope of line J
Y intercept of J >Y intercept of K
2 Slope of line K <Slope of line J
Y Intercept of J < Y intercept of k

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In xy-coordinate plane, lines j and k intersect at the point (5, 0)  [#permalink]

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New post 13 Jun 2017, 10:35
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GMATPrepNow wrote:
In xy-coordinate plane, lines j and k intersect at the point (5, 0). If both lines have defined slopes, is the y-intercept of line j greater than the y-intercept of line k?

1) The slope of line k is greater than the slope of line j.
2) Line j has a negative slope


Target question: Is the y-intercept of line j greater than the y-intercept of line k?

Statement 1: The slope of line k is greater than the slope of line j.
Let's examine 2 cases: the slope of line j is positive and the slope of line j is negative
Case a: the slope of line j is positive
Image
Notice that, if line k has a greater slope, then the y-intercept of line j IS greater than the y-intercept of line k

Case b: the slope of line j is negative
ASIDE: Some students will misinterpret statement 1 to suggest that line k is steeper than link j. However, this is true ONLY WHEN line j has a positive slope. The opposite is true when line j has a negative slope.
To help visualize this, I have made slope of line j equal to -1
Image
Notice that a slope of -2/3 is greater than a slope of -1
And a slope of -1/8 is greater than a slope of -1
As we can see, in all cases, the y-intercept of line j IS greater than the y-intercept of line k

Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: Line j has a negative slope
This statement is NOT sufficient.
Consider the following two cases:
Image
In the above case, the y-intercept of line j is GREATER than the y-intercept of line k

Image
In the above case, the y-intercept of line j is LESS than the y-intercept of line k
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer:

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Re: In xy-coordinate plane, lines j and k intersect at the point (5, 0)  [#permalink]

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New post 26 Jun 2018, 08:02
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Re: In xy-coordinate plane, lines j and k intersect at the point (5, 0) &nbs [#permalink] 26 Jun 2018, 08:02
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