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In the xy-coordinate system, points (2, 9) and (-1, 0) lie o
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04 Feb 2020, 10:43
04 Feb 2020, 10:43
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In the xy-coordinate system, points (2, 9) and (-1, 0) lie on line k. If the point (n, 21) lies on line k, what is the value of n?
A. 6
B. 7
C. 8
D. 9
E. 10
A. 6
B. 7
C. 8
D. 9
E. 10
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: In the xy-coordinate system, points (2, 9) and (-1, 0) lie o
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05 Feb 2020, 06:41
05 Feb 2020, 06:41
huda wrote:
In the xy-coordinate system, points (2, 9) and (-1, 0) lie on line k. If the point (n, 21) lies on line k, what is the value of n?
A. 6
B. 7
C. 8
D. 9
E. 10
A. 6
B. 7
C. 8
D. 9
E. 10
Key concept: If you take any portion of a particular line, the slope between ANY two points on the line will always be the same.
So, for example, the slope between points (2, 9) and (-1, 0) must be equal to the slope between points (2, 9) and (n, 21)
Slope between (2, 9) and (-1, 0) = (9 - 0)/(2 - (-1)) = 9/3 = 3
This means the slope between points (2, 9) and (n, 21) must also equal 3
We can write: (21 - 9)/(n - 2) = 3
Simplify: 12/(n - 2) = 3
Multiply both sides by (n - 2) to get: 12 = 3(n - 2)
Divide both sides by 3 to get: 4 = n - 2
Solve: n = 6
Answer: A
Cheers,
Brent
Re: In the xy-coordinate system, points (2, 9) and (-1, 0) lie o
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29 Oct 2024, 19:05
29 Oct 2024, 19:05
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
