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Line k is in the rectangular coordinate system. If line k is defined b
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30 Mar 2021, 05:26
30 Mar 2021, 05:26
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Line k is in the rectangular coordinate system. If line k is defined by the equation 3y = 2x + 6, and line k intersects the x-axis at point (a,b), then what is the value of a?
A. -3
B. -2
C. 0
D. 2
E. 3
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. -3
B. -2
C. 0
D. 2
E. 3
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: 10 Apr 2015
Posts: 6218
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Re: Line k is in the rectangular coordinate system. If line k is defined b
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30 Mar 2021, 07:10
30 Mar 2021, 07:10
1
Carcass wrote:
Line k is in the rectangular coordinate system. If line k is defined by the equation 3y = 2x + 6, and line k intersects the x-axis at point (a,b), then what is the value of a?
A. -3
B. -2
C. 0
D. 2
E. 3
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. -3
B. -2
C. 0
D. 2
E. 3
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Key concept #1: All points on the x-axis have 0 as their y-coordinate
Key concept #2: If a point is on a line, then the x- and y-coordinates of that point must satisfy the equation of that line
Application of key concept #1: Since (a,b) lies on the x-axis, we know that b = 0, which means the point is (a, 0)
Application of key concept #2: If (a, 0) lies on the line, then it must be true that: 3(0) = 2a + 6
Simplify: 0 = 2a + 6
Subtract 6 from both sides: -6 = 2a
Solve: a = -3
Answer: A
Cheers,
Brent
Retired Moderator
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Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: Line k is in the rectangular coordinate system. If line k is defined b
[#permalink]
30 Mar 2021, 07:31
30 Mar 2021, 07:31
1
Carcass wrote:
Line k is in the rectangular coordinate system. If line k is defined by the equation 3y = 2x + 6, and line k intersects the x-axis at point (a,b), then what is the value of a?
A. -3
B. -2
C. 0
D. 2
E. 3
A. -3
B. -2
C. 0
D. 2
E. 3
line k intersects the x-axis at point (a, b) i.e. \(b = 0\)
\(3y = 2x + 6\)
\(3(0) = 2x + 6\)
\(x = -3\)
Hence, option A
