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In the coordinate plane, the y-intercept of the line [m]k[/m] is equal
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26 Mar 2021, 10:19
26 Mar 2021, 10:19
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Question Stats:
71% (00:59) correct
28% (01:30) wrong based on 38 sessions
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In the coordinate plane, the y-intercept of the line \(k\) is equal to twice its slope. The y-intercept is not \(0\). What is the x-intercept of the line \(k\)?
A. -2
B. -1
C. 0
D. 1
E. 2
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. -2
B. -1
C. 0
D. 1
E. 2
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
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Re: In the coordinate plane, the y-intercept of the line [m]k[/m] is equal
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26 Mar 2021, 22:38
26 Mar 2021, 22:38
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Carcass wrote:
In the coordinate plane, the y-intercept of the line \(k\) is equal to twice its slope. The y-intercept is not \(0\). What is the x-intercept of the line \(k\)?
A. -2
B. -1
C. 0
D. 1
E. 2
A. -2
B. -1
C. 0
D. 1
E. 2
Another Approach:
Equation of a line, \(y = mx + c\) and we are given \(c = 2m\)
So, \(y = mx + 2m\)
\(y = m(x + 2)\)
Plug \(y = 0\) for x-intercept;
\(0 = m(x + 2)\)
\((x + 2) = 0\)
\(x = -2\)
Hence, option A
General Discussion
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: In the coordinate plane, the y-intercept of the line [m]k[/m] is equal
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26 Mar 2021, 10:25
26 Mar 2021, 10:25
1
Carcass wrote:
In the coordinate plane, the y-intercept of the line \(k\) is equal to twice its slope. The y-intercept is not \(0\). What is the x-intercept of the line \(k\)?
A. -2
B. -1
C. 0
D. 1
E. 2
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. -2
B. -1
C. 0
D. 1
E. 2
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
One approach is to choose some values that meet the given information.
In the coordinate plane, the y-intercept of the line k is equal to twice its slope.
Okay, so let's say the y-intercept of line k is 6. We get:
Since the y-intercept (6) is TWICE the slope, we know that the slope = 3
What is the x-intercept of the line k?
Since (x, 0) are the coordinates of the x-intercept . . .
. . . we can apply the slope formula to wrote: (6 - 0)/(0 - x) = 3
Simplify: 6/(-x) = 3
Multiply both sides by -x to get: 6 = -3x
Solve: x = 6/(-3) = -2
Answer: A
Cheers,
Brent
