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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.

Re: In the coordinate plane, line k passes through the origin an [#permalink]
19 Feb 2014, 00:17

Expert's post

4

This post was BOOKMARKED

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:

Re: In the coordinate plane, line k passes through the origin an [#permalink]
22 Feb 2014, 05:00

Expert's post

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:

Re: In the coordinate plane, line k passes through the origin an [#permalink]
28 Feb 2015, 02:54

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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.

Re: In the coordinate plane, line k passes through the origin an [#permalink]
28 Feb 2015, 18:29

Expert's post

Hi All,

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

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