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# M02-27

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Math Expert
Joined: 02 Sep 2009
Posts: 58390

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16 Sep 2014, 00:18
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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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Posts: 58390

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16 Sep 2014, 00:18
2
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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Joined: 09 Aug 2014
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19 Mar 2015, 02:35
I think this question is good and helpful.
Intern
Joined: 05 Jan 2017
Posts: 35

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18 Oct 2018, 05:29
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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Joined: 21 Oct 2018
Posts: 31
Location: India

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16 May 2019, 06:29
such an easy pesy question
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16 May 2019, 06:46
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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Joined: 28 Apr 2018
Posts: 23

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18 May 2019, 16:00
Good and easy question

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

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24 Aug 2019, 10:55
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
Joined: 02 Sep 2009
Posts: 58390

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25 Aug 2019, 00:55
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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12 Oct 2019, 23:29
Why cant we find the points by first plugging in X=0, and then Y=0?
Math Expert
Joined: 02 Sep 2009
Posts: 58390

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13 Oct 2019, 00:50
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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Re: M02-27   [#permalink] 13 Oct 2019, 00:50
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# M02-27

Moderators: chetan2u, Bunuel