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# If a line K passes through (1, 5) and the line K intersects with

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Intern
Joined: 16 Mar 2017
Posts: 13
If a line K passes through (1, 5) and the line K intersects with [#permalink]

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19 Sep 2017, 07:41
1
00:00

Difficulty:

35% (medium)

Question Stats:

69% (01:10) correct 31% (01:44) wrong based on 61 sessions

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If a line K passes through (1, 5) and the line K intersects with the other line L at (5, t), what is the
value of t?
1) The y-intercept of the line K is 5
2) The slope of the line L is positive
Director
Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 664
Location: India
GPA: 3.64
Re: If a line K passes through (1, 5) and the line K intersects with [#permalink]

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19 Sep 2017, 09:36
petrified17 wrote:
If a line K passes through (1, 5) and the line K intersects with the other line L at (5, t), what is the
value of t?
1) The y-intercept of the line K is 5
2) The slope of the line L is positive

Let the line K be y=mx+c, where m is the slope and c is the y-intercept.
S1 - y-intercept =5=c
therefore, equation of line K, y=mx+5
since it passes through (1,5)
5=x+5, therefore x=0
Line K is y=5 which intersects L at (5,t). Hence t=5.
Sufficient.

S2 - Slope of line L is positive.
It can be any line, we cannot find t.

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Re: If a line K passes through (1, 5) and the line K intersects with   [#permalink] 19 Sep 2017, 09:36
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