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# The line shown passes through the point (A, 30). Which of the followi

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Math Expert
Joined: 02 Sep 2009
Posts: 44298
The line shown passes through the point (A, 30). Which of the followi [#permalink]

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15 Mar 2015, 23:02
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The line shown passes through the point (A, 30). Which of the following is closest to the value of A?

A. 58
B. 59
C. 60
D. 61
E. 62

Kudos for a correct solution.
[Reveal] Spoiler: OA

_________________
Joined: 12 Nov 2014
Posts: 133
Concentration: General Management, Strategy
Re: The line shown passes through the point (A, 30). Which of the followi [#permalink]

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16 Mar 2015, 03:34
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Bunuel wrote:
Attachment:
ppocg_img1.png
The line shown passes through the point (A, 30). Which of the following is closest to the value of A?

A. 58
B. 59
C. 60
D. 61
E. 62

Kudos for a correct solution.

The line ax+b=y passes ( -2;0 ) and (0;1) then the line: (1/2)*x +1 = y
The line passes ( A;30) then A/2+1 =30 => A=58 the answer is A
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Re: The line shown passes through the point (A, 30). Which of the followi [#permalink]

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16 Mar 2015, 21:44
1
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Expert's post
Bunuel wrote:
Attachment:
ppocg_img1.png
The line shown passes through the point (A, 30). Which of the following is closest to the value of A?

A. 58
B. 59
C. 60
D. 61
E. 62

Kudos for a correct solution.

From the diagram, you see that when the y co-ordinate increases by 1 (from (-2, 0) to ( 0 , 1)), the x co-ordinate increases by 2. So if the y co-ordinate will increase by another 29 (to be at 30), the x co-ordinate will increase by 29*2 = 58. So the line must pass through (58, 30)

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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Senior Manager Joined: 28 Feb 2014 Posts: 296 Location: United States Concentration: Strategy, General Management Re: The line shown passes through the point (A, 30). Which of the followi [#permalink] ### Show Tags 17 Mar 2015, 11:44 1 This post received KUDOS 1 This post was BOOKMARKED Looking at the picture, the slope is 1/2. y=(1/2)x + b 0=(1/2)(-2)+b b=1 y=(1/2)x+1 30=(1/2)x+1 x=58 Answer: A Retired Moderator Status: Getting strong now, I'm so strong now!!! Affiliations: National Institute of Technology, Durgapur Joined: 04 Jun 2013 Posts: 549 Location: India GPA: 3.32 WE: Information Technology (Computer Software) Re: The line shown passes through the point (A, 30). Which of the followi [#permalink] ### Show Tags 17 Mar 2015, 13:54 1 This post received KUDOS i would do lime this x/a+y/b=1 substitute values... _________________ Regards, S Consider +1 KUDOS if you find this post useful Board of Directors Joined: 17 Jul 2014 Posts: 2752 Location: United States (IL) Concentration: Finance, Economics GMAT 1: 650 Q49 V30 GPA: 3.92 WE: General Management (Transportation) Re: The line shown passes through the point (A, 30). Which of the followi [#permalink] ### Show Tags 17 Mar 2015, 14:42 1 This post received KUDOS let's see the coordinates of the 2 points: when x = 0, y = 1. This is y intercept, or b when y = 0, x = -2. this is x intercept. from coordinates of these two points, we can solve for slope of the line. (1-0)/[0-(-2)] = 1/2 now, we can write the equation of the line y = x/2 +1 we are given the coordinates of y (30) let's plug in and solve for x: 30 = x/2 +1 29 = x/2 29*2 = x x = 58. Answer choice A) 58. Math Expert Joined: 02 Sep 2009 Posts: 44298 Re: The line shown passes through the point (A, 30). Which of the followi [#permalink] ### Show Tags 23 Mar 2015, 04:03 Bunuel wrote: The line shown passes through the point (A, 30). Which of the following is closest to the value of A? A. 58 B. 59 C. 60 D. 61 E. 62 Kudos for a correct solution. MAGOOSH OFFICIAL SOLUTION: The line appears to have a slope of ½ and y-intercept of 1, so its equation would be y = 0.5x + 1 Plug in A for x and 30 for y. 30 = 0.5A + 1 29 = 0.5A 58 = A Answer = (A) _________________ Director Joined: 10 Mar 2013 Posts: 581 Location: Germany Concentration: Finance, Entrepreneurship GMAT 1: 580 Q46 V24 GPA: 3.88 WE: Information Technology (Consulting) Re: The line shown passes through the point (A, 30). Which of the followi [#permalink] ### Show Tags 03 Dec 2015, 06:25 Bunuel wrote: Attachment: ppocg_img1.png The line shown passes through the point (A, 30). Which of the following is closest to the value of A? A. 58 B. 59 C. 60 D. 61 E. 62 Kudos for a correct solution. Let's write down the points from the picture: (0,1) (-2,0) 1. We can find an equation with 2 points given: $$\frac{y-1}{x-0}= \frac{1-0}{0-(-2)}$$ --> $$y=\frac{1}{2}x+1$$ 2. Insert (a,30) in the equation: $$30 = \frac{1}{2}x+1$$, and we'll get A=58 which is Answer A _________________ When you’re up, your friends know who you are. When you’re down, you know who your friends are. Share some Kudos, if my posts help you. Thank you ! 800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50 GMAT PREP 670 MGMAT CAT 630 KAPLAN CAT 660 EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 11270 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: 340 Q170 V170 Re: The line shown passes through the point (A, 30). Which of the followi [#permalink] ### Show Tags 17 Feb 2017, 12:31 1 This post received KUDOS Expert's post Hi All, This prompt can be solved in a variety of different ways, depending on which type of math you find easiest/fastest. There's also a relatively easy 'brute force' approach that you can use. From the picture, we can see that the line follows a pattern - the line "goes up 1 for every 2 that you go to the right"... (-2, 0) (0, 1) (2, 2) (4, 3) Etc. We're asked to find the value of A at the point (A, 30). We can "count up" from (0,1).... 1 to 30 is 29 "steps" and 29(2) = 58. Final Answer: [Reveal] Spoiler: A GMAT assassins aren't born, they're made, Rich _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
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Re: The line shown passes through the point (A, 30). Which of the followi   [#permalink] 17 Feb 2017, 12:31
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