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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: 14

Kudos [?]: 9 [0], given: 15

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

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19 Sep 2017, 07:41
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Difficulty:

45% (medium)

Question Stats:

64% (01:10) correct 36% (01:45) wrong based on 39 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
[Reveal] Spoiler: OA

Kudos [?]: 9 [0], given: 15

Senior Manager
Joined: 25 Nov 2015
Posts: 266

Kudos [?]: 78 [0], given: 245

Location: India
GPA: 3.64
WE: Engineering (Energy and Utilities)
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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Kudos [?]: 78 [0], given: 245

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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