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# M02-27

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Math Expert
Joined: 02 Sep 2009
Posts: 52917

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15 Sep 2014, 23:18
00:00

Difficulty:

5% (low)

Question Stats:

95% (00:31) correct 5% (01:28) wrong based on 155 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
Joined: 02 Sep 2009
Posts: 52917

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15 Sep 2014, 23:18
1
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, 01:35
I think this question is good and helpful.
Intern
Joined: 05 Jan 2017
Posts: 39

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18 Oct 2018, 04:29
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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Re: M02-27   [#permalink] 18 Oct 2018, 04:29
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# M02-27

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