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Which of the following coordinates are on the line segment

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Which of the following coordinates are on the line segment [#permalink] New post 06 Nov 2008, 11:43
Which of the following coordinates are on the line segment connecting (5,6) and (21,18)?

A) (9,9)

B) (12,12)

C) (13,13)

D) (12,13)

E) (16,15)


pls advice the formulae used here..
thanx
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Re: coordinate [#permalink] New post 06 Nov 2008, 12:12
bindrakaran001 wrote:
Which of the following coordinates are on the line segment connecting (5,6) and (21,18)?

A) (9,9)
B) (12,12)
C) (13,13)
D) (12,13)
E) (16,15)

pls advice the formulae used here..
thanx


use slope formula = (21 - 6)/(21-5) = 3/4
try to get the same slope = (9-6)/(9-5) = 3/4

so A.
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Re: coordinate [#permalink] New post 06 Nov 2008, 12:35
GMAT TIGER wrote:
bindrakaran001 wrote:
Which of the following coordinates are on the line segment connecting (5,6) and (21,18)?

A) (9,9)
B) (12,12)
C) (13,13)
D) (12,13)
E) (16,15)

pls advice the formulae used here..
thanx


use slope formula = (21 - 6)/(21-5) = 3/4
try to get the same slope = (9-6)/(9-5) = 3/4

so A.


Note: It might happen sometime that the slope might be same for a point but point might not fall on the line segment. For a point (x, y) to be on line segment formed by (x1, y1) and (x2, y2), apart from having same slope, the point also needs to have x between x1 and x2 and y between y1 and y2.
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Re: coordinate [#permalink] New post 07 Nov 2008, 05:32
mbajingle wrote:
Note: It might happen sometime that the slope might be same for a point but point might not fall on the line segment. For a point (x, y) to be on line segment formed by (x1, y1) and (x2, y2), apart from having same slope, the point also needs to have x between x1 and x2 and y between y1 and y2.


The question says "line segment connecting two points" and not "line segment between two points".
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Re: coordinate [#permalink] New post 08 Nov 2008, 13:07
scthakur wrote:
mbajingle wrote:
Note: It might happen sometime that the slope might be same for a point but point might not fall on the line segment. For a point (x, y) to be on line segment formed by (x1, y1) and (x2, y2), apart from having same slope, the point also needs to have x between x1 and x2 and y between y1 and y2.


The question says "line segment connecting two points" and not "line segment between two points".


The argument holds good even for "line segment connecting two points." Anyways I agree with GMAT TIGER's answer/explanation. Thought of putting forth a point that is extension of the topic under discussion.
Re: coordinate   [#permalink] 08 Nov 2008, 13:07
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