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Math Expert V
Joined: 02 Sep 2009
Posts: 58390

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Difficulty:   5% (low)

Question Stats: 96% (00:41) correct 4% (01:31) wrong based on 214 sessions

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If in the xy plane line $$m$$ has the equation $$y=3x-8$$, then line $$m$$ passes through which of the following points?

A. (3, 1)
B. (3, 4)
C. (4, 2)
D. (6, 9)
E. (6, 15)

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Math Expert V
Joined: 02 Sep 2009
Posts: 58390

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Official Solution:

If in the xy plane line $$m$$ has the equation $$y=3x-8$$, then line $$m$$ passes through which of the following points?

A. (3, 1)
B. (3, 4)
C. (4, 2)
D. (6, 9)
E. (6, 15)

Backsolve. Plug in the value of $$x$$, the first coordinate into the given equation, and check if the value of $$y$$ matches.

For example, start with answer choice (C), (4, 2). If $$x = 4$$, $$y = 3 * 4 - 8$$, $$y = 4$$. That does not match 2.

For answer choice (A), (3,1), if $$x = 3$$, $$y = 3 * 3 - 8 = 1$$. The answer matches.

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Intern  Joined: 09 Aug 2014
Posts: 9

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I think this question is good and helpful.
Intern  S
Joined: 05 Jan 2017
Posts: 35

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best way to put the values of x and y from the options in the equation-
1) x=3x=3 , y=3∗3−8=1
Ans- A
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Intern  B
Joined: 21 Oct 2018
Posts: 31
Location: India

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such an easy pesy question
ISB School Moderator G
Joined: 08 Dec 2013
Posts: 594
Location: India
Concentration: Nonprofit, Sustainability
Schools: ISB '21
GMAT 1: 630 Q47 V30 WE: Operations (Non-Profit and Government)

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1
Bunuel wrote:
If in the xy plane line $$m$$ has the equation $$y=3x-8$$, then line $$m$$ passes through which of the following points?

A. (3, 1)
B. (3, 4)
C. (4, 2)
D. (6, 9)
E. (6, 15)

My approach, put the x-coordinate in the given equation and find whether the answer is matching the y-coordinate.

y=3x-8, putting x=3 we are getting y=1. So A. (3, 1) satisfies the equation. This point is on the line m.
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Intern  B
Joined: 28 Apr 2018
Posts: 23

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Good and easy question

Posted from my mobile device
Intern  B
Joined: 05 Nov 2012
Posts: 45

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Bunuel wrote:
Official Solution:

If in the xy plane line $$m$$ has the equation $$y=3x-8$$, then line $$m$$ passes through which of the following points?

A. (3, 1)
B. (3, 4)
C. (4, 2)
D. (6, 9)
E. (6, 15)

Backsolve. Plug in the value of $$x$$, the first coordinate into the given equation, and check if the value of $$y$$ matches.

For example, start with answer choice (C), (4, 2). If $$x = 4$$, $$y = 3 * 4 - 8$$, $$y = 4$$. That does not match 2.

For answer choice (A), (3,1), if $$x = 3$$, $$y = 3 * 3 - 8 = 1$$. The answer matches.

Hi Bunuel,

I was trying to find the x and y intercept and the answer wasn't matching the solution. Why is my way incorrect? Can you please explain.
Math Expert V
Joined: 02 Sep 2009
Posts: 58390

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nishatfarhat87 wrote:
Bunuel wrote:
Official Solution:

If in the xy plane line $$m$$ has the equation $$y=3x-8$$, then line $$m$$ passes through which of the following points?

A. (3, 1)
B. (3, 4)
C. (4, 2)
D. (6, 9)
E. (6, 15)

Backsolve. Plug in the value of $$x$$, the first coordinate into the given equation, and check if the value of $$y$$ matches.

For example, start with answer choice (C), (4, 2). If $$x = 4$$, $$y = 3 * 4 - 8$$, $$y = 4$$. That does not match 2.

For answer choice (A), (3,1), if $$x = 3$$, $$y = 3 * 3 - 8 = 1$$. The answer matches.

Hi Bunuel,

I was trying to find the x and y intercept and the answer wasn't matching the solution. Why is my way incorrect? Can you please explain.

Why do you need to find x and y-intercept? Also, you forgot to write down your approach.
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Intern  B
Joined: 01 Jul 2017
Posts: 3

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Why cant we find the points by first plugging in X=0, and then Y=0?
Math Expert V
Joined: 02 Sep 2009
Posts: 58390

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Vihar123 wrote:
Why cant we find the points by first plugging in X=0, and then Y=0?

Putting x = 0, you find the y-intercept of the line. So, the point at which the line crosses y-axis.
Putting y = 0, you find the x-intercept of the line. So, the point at which the line crosses x-axis.

Is this what the question is asking?
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