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

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

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New post 19 Sep 2017, 06:41
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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
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Re: If a line K passes through (1, 5) and the line K intersects with [#permalink]

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New post 19 Sep 2017, 08:36
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.

Answer A.

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Re: If a line K passes through (1, 5) and the line K intersects with   [#permalink] 19 Sep 2017, 08:36
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