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In a rectangular coordinate system, which of the following

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In a rectangular coordinate system, which of the following [#permalink] New post 20 Oct 2010, 01:55
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C
D
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In a rectangular coordinate system, which of the following points is intersected by the line connected by the coordinates (5,6) and (21,18)?

A. (9,9)
B. (12,12)
C. (13,13)
D. (12,13)
E. (16,15)
[Reveal] Spoiler: OA

Last edited by Bunuel on 22 Sep 2012, 09:03, edited 1 time in total.
Edited the question.
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Re: In a rectangular coordinate system ............ [#permalink] New post 20 Oct 2010, 02:05
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pzazz12 wrote:
In a rectangular coordinate system ,which of the following points is intersected by the line connected by the coordinates (5,6) and(21,18)?
A.(9,9)
B.(12,12)
C.(13,13)
D.(12,13)
E.(16,15)


The slope of a line passing through the points (5,6) and (21,18) is "rise over run": \frac{18-6}{21-5}=\frac{3}{4}.

The slope of a line passing through the point (5,6) and one of the points from the answer choice must also be \frac{3}{4} (as it's the same lin), so \frac{y-6}{x-5}=\frac{3}{4}.

Answer choice A works: \frac{9-6}{9-5}=\frac{3}{4}.

Answer: A.

For more on these issues check Coordinate Geometry chapter of Math Book: math-coordinate-geometry-87652.html

Hope it helps.
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Re: In a rectangular coordinate system ............ [#permalink] New post 20 Oct 2010, 02:15
pzazz12 wrote:
In a rectangular coordinate system ,which of the following points is intersected by the line connected by the coordinates (5,6) and(21,18)?
A.(9,9)
B.(12,12)
C.(13,13)
D.(12,13)
E.(16,15)


Equation of the line connecting the two points,(5,6) and (21,18);

y-6= {(6-18)/(5-21)}(x-5) or , 4y-3x=9

Only ( 9,9) is satisfying the equation.Hence answer is A.

Consider KUDOS if its helpful to u .Thanks.
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Re: In a rectangular coordinate system, which of the following [#permalink] New post 14 Aug 2013, 02:44
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Re: In a rectangular coordinate system, which of the following   [#permalink] 14 Aug 2013, 02:44
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