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A line in the xy-plane passes through the origin and has a slope of 1/
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30 Mar 2021, 05:28
30 Mar 2021, 05:28
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Question Stats:
82% (00:57) correct
17% (01:00) wrong based on 41 sessions
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A line in the xy-plane passes through the origin and has a slope of 1/7 Which of the following points lies on the line?
A) (0, 7)
B) (1, 7)
C) (7, 7)
D) (14, 2)
E) (7, 14)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A) (0, 7)
B) (1, 7)
C) (7, 7)
D) (14, 2)
E) (7, 14)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: A line in the xy-plane passes through the origin and has a slope of 1/
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30 Mar 2021, 05:58
30 Mar 2021, 05:58
Since the line passes through origin, y intercept will be 0. The equation of the line must be in the form:
y = mx, where slope m=1/7.
So, y = (1/7) * x
Plugin answer choices in this equation. Whichever answer choice satisfies the equation is the answer.
Plugin x=14, y=2. Hence, D is the correct answer.
Posted from my mobile device
y = mx, where slope m=1/7.
So, y = (1/7) * x
Plugin answer choices in this equation. Whichever answer choice satisfies the equation is the answer.
Plugin x=14, y=2. Hence, D is the correct answer.
Posted from my mobile device
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Re: A line in the xy-plane passes through the origin and has a slope of 1/
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30 Mar 2021, 07:10
30 Mar 2021, 07:10
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Carcass wrote:
A line in the xy-plane passes through the origin and has a slope of 1/7 Which of the following points lies on the line?
A) (0, 7)
B) (1, 7)
C) (7, 7)
D) (14, 2)
E) (7, 14)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A) (0, 7)
B) (1, 7)
C) (7, 7)
D) (14, 2)
E) (7, 14)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Let's write the equation of the line in slope y-intercept form y = mx + b, where m = the slope and b = the y-intercept.
So, m = 1/7
And, since the line passes through the origin (0,0), we know that b (the y-intercept) = 0
So, the equation of the line is: y = (1/7)x + 0
Or just y = (1/7)x
So, all points (x, y) ON the line will satisfy the equation y = (1/7)x
Let's check the answer choices.
A) (0, 7) plug x = 0 and y = 7 into the equation of the line to get: 7 = (1/7)(0) Doesn't work. So, (0,7) is NOT on the line.
B) (1, 7) plug x = 1 and y = 7 into the equation of the line to get: 7 = (1/7)(1) Doesn't work. So, (1,7) is NOT on the line.
C) (7, 7) plug x = 7 and y = 7 into the equation of the line to get: 7 = (1/7)(7) Doesn't work. So, (7,7) is NOT on the line.
D) (14, 2) plug x = 14 and y = 2 into the equation of the line to get: 2 = (1/7)(14) This WORKS. So, (2,14) IS on the line.
Answer: D
