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Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

In the coordinate plane, line k passes through the origin and has slope 2. If points (3,y) and (x,4) are on line k, then x+y =

(A) 3.5 (B) 7 (C) 8 (D) 10 (E) 14

Any line which passes through the origin has a form of \(y=mx\), since \(m=2\) (the slope of a line), then we have that the equation of our line is \(y=2x\). Now, if we substitute the coordinates of two points we'll get:

In the coordinate plane, line k passes through the origin and has slope 2. If points (3,y) and (x,4) are on line k, then x+y =

(A) 3.5 (B) 7 (C) 8 (D) 10 (E) 14

Any line which passes through the origin has a form of \(y=mx\), since \(m=2\) (the slope of a line), then we have that the equation of our line is \(y=2x\). Now, if we substitute the coordinates of two points we'll get:

Re: In the coordinate plane, line k passes through the origin an [#permalink]

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28 Feb 2015, 02:54

Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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).

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Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

This question can be solved with a "brute force" approach, as long as you understand the Graphing vocabulary involved.

We're told that a line passes through the ORIGIN (meaning point 0,0) and has a SLOPE of 2 (meaning the Y-coordinate increases by 2 every time the X-coordiinate increases by 1).

Thus, we can list the first several points (starting at the Origin) without too much trouble: (0, 0) (1, 2) (2, 4) (3, 6) (4, 8) (5, 10) Etc.

We're told that (3, Y) and (X, 4) are on this line. We're asked for the value of X+Y....

From the list (above), we can see that Y = 6 and that X = 2, so X+Y = 2+6 = 8

Re: In the coordinate plane, line k passes through the origin an [#permalink]

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17 Apr 2016, 04:41

Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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).

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In the coordinate plane, line k passes through the origin and has slope 2. If points (3,y) and (x,4) are on line k, then x+y =

(A) 3.5 (B) 7 (C) 8 (D) 10 (E) 14

So solution of this question is very easy once we know the line passes through origin. When a line passes through origin then its x&y intercept both are '0'. Now equation of the line y=mx+c becomes y=mx=>y=2x. Now plug in the coordinates. Answer is C

Re: In the coordinate plane, line k passes through the origin an [#permalink]

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24 May 2016, 02:03

Bunuel wrote:

SOLUTION

In the coordinate plane, line k passes through the origin and has slope 2. If points (3,y) and (x,4) are on line k, then x+y =

(A) 3.5 (B) 7 (C) 8 (D) 10 (E) 14

Any line which passes through the origin has a form of \(y=mx\), since \(m=2\) (the slope of a line), then we have that the equation of our line is \(y=2x\). Now, if we substitute the coordinates of two points we'll get:

For point (3,y) --> \(y=2*3=6\);

For point (x,4) --> \(4=2x\) --> \(x=2\);

\(x+y=8\).

Answer: C.

Hi Bunuel,

Why is the answer wrong if I do the question in the following way:

y=mx y=2x x+y = x+2x = 3x Now from values given, 4 = 2x x = 2 x+y = 3*2 = 6

In your work, you're confusing the VARIABLES X and Y with the X and Y co-ordinates on the line. Try doing your math again, but use these variables instead...

Y = 2X

(3, B) and (A, 4) are on the line. What is the value of A+B?

Re: In the coordinate plane, line k passes through the origin an [#permalink]

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26 May 2016, 02:21

EMPOWERgmatRichC wrote:

Hi nishatfarhat87,

In your work, you're confusing the VARIABLES X and Y with the X and Y co-ordinates on the line. Try doing your math again, but use these variables instead...

Y = 2X

(3, B) and (A, 4) are on the line. What is the value of A+B?

GMAT assassins aren't born, they're made, Rich

Got it Rich. Thanks

gmatclubot

Re: In the coordinate plane, line k passes through the origin an
[#permalink]
26 May 2016, 02:21

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