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Equation of a line is given as 3x+2y=6. What is the sum of the x inter
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26 Mar 2021, 10:15
26 Mar 2021, 10:15
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Equation of a line is given as 3x+2y=6. What is the sum of the x intercept and y intercept of this line?
A. 3
B. -3
C. -5
D. 5
E. 4
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. -3
C. -5
D. 5
E. 4
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Joined: 10 Apr 2015
Posts: 6218
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Re: Equation of a line is given as 3x+2y=6. What is the sum of the x inter
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26 Mar 2021, 10:28
26 Mar 2021, 10:28
1
Carcass wrote:
Equation of a line is given as 3x+2y=6. What is the sum of the x intercept and y intercept of this line?
A. 3
B. -3
C. -5
D. 5
E. 4
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. -3
C. -5
D. 5
E. 4
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
The x-intercept occurs at the point where y = 0
So, plug y = 0 into the equation to get: 3x + 2(0) = 6
Solve to get x = 2
So, the x-intercept is 2
The y-intercept occurs at the point where x = 0
So, plug x = 0 into the equation to get: 3(0) + 2y = 6
Solve to get y = 3
So, the y-intercept is 3
What is the sum of the x intercept and y intercept of this line?
Sum = 2 + 3 = 5
Answer: D
Cheers,
Brent
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Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1111
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Equation of a line is given as 3x+2y=6. What is the sum of the x inter
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10 Jun 2023, 06:19
10 Jun 2023, 06:19
1
↧↧↧ Detailed Video Explanation to the Problem ↧↧↧
We need to find the sum of x intercept and y intercept of the line 3x + 2y = 6
We can find the x intercept by putting y = 0, as x intercept is the point where the line intersects the x-axis. And all points on the x-axis have y coordinate=0
=> 3x + 2*0 = 6
=> x = \(\frac{6}{3}\) = 2
We can find the y intercept by putting x = 0, as y intercept is the point where the line intersects the y-axis. And all points on the y-axis have x coordinate=0
=> 3*0 + 2y = 6
=> y = \(\frac{6}{2}\) = 3
=> Sum of x intercept and y intercept = 2 + 3 = 5
So, Answer will be D
Hope it helps!
Watch the following video to learn the Basics of Co-ordinate Geometry
We need to find the sum of x intercept and y intercept of the line 3x + 2y = 6
We can find the x intercept by putting y = 0, as x intercept is the point where the line intersects the x-axis. And all points on the x-axis have y coordinate=0
=> 3x + 2*0 = 6
=> x = \(\frac{6}{3}\) = 2
We can find the y intercept by putting x = 0, as y intercept is the point where the line intersects the y-axis. And all points on the y-axis have x coordinate=0
=> 3*0 + 2y = 6
=> y = \(\frac{6}{2}\) = 3
=> Sum of x intercept and y intercept = 2 + 3 = 5
So, Answer will be D
Hope it helps!
Watch the following video to learn the Basics of Co-ordinate Geometry
