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GRE Math Challenge #133-In the rectangular coordinate system
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Updated on: 20 Feb 2020, 16:12
Updated on: 20 Feb 2020, 16:12
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Question Stats:
84% (00:36) correct
15% (00:26) wrong based on 89 sessions
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In the rectangular coordinate system, line k passes through the points (0,0) and (4,8); line m passes through the points (0,1) and (4,9).
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Quantity A |
Quantity B |
The slope of line k |
The slope of line m |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: GRE Math Challenge #133
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17 May 2015, 08:24
17 May 2015, 08:24
1
sandy wrote:
In the rectangular coordinate system, line k passes through the points (0,0) and (4,8); line m passes through the points (0,1) and (4,9).
Quantity A: The slope of line k
Quantity B: The slope of line m
Quantity A: The slope of line k
Quantity B: The slope of line m
One approach is to sketch each line.
When we do so, we see that the two points for line m are each 1 UNIT ABOVE the two points for line k.
Given this, the two lines must be PARALLEL, which means their slopes are EQUAL.
Answer:
Show: ::
C
Cheers,
Brent
Attachments
linesmk.png [ 6.28 KiB | Viewed 10310 times ]
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: GRE Math Challenge #133
[#permalink]
17 May 2015, 08:26
17 May 2015, 08:26
1
sandy wrote:
In the rectangular coordinate system, line k passes through the points (0,0) and (4,8); line m passes through the points (0,1) and (4,9).
Quantity A: The slope of line k
Quantity B: The slope of line m
Quantity A: The slope of line k
Quantity B: The slope of line m
Another option is to apply the slope formula.
Slope of line k = (8 - 0)/(4 - 0) = 8/4 = 2
Slope of line m = (9 - 1)/(4 - 0) = 8/4 = 2
Answer:
Show: ::
C
Cheers,
Brent
