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# What is the slope of line l which passes through the origin of a recta

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Math Expert
Joined: 02 Sep 2009
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What is the slope of line l which passes through the origin of a recta  [#permalink]

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19 May 2016, 03:25
3
5
00:00

Difficulty:

45% (medium)

Question Stats:

61% (00:55) correct 39% (01:09) wrong based on 167 sessions

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What is the slope of line l which passes through the origin of a rectangular coordinate system?

(1) The line does not intersect with the line y = x + 2
(2) The line passes through the point (3,3)

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Re: What is the slope of line l which passes through the origin of a recta  [#permalink]

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19 May 2016, 23:06
2
Bunuel wrote:
What is the slope of line l which passes through the origin of a rectangular coordinate system?

(1) The line does not intersect with the line y = x + 2
(2) The line passes through the point (3,3)

Statement 1: The line does not intersect with the line y = x + 2
Two lines do not intersect each other if:
1. They are parallel
2. They are same lines

In both the cases, the slope of the line will be same as that of the line y = x + 2
SUFFICIENT

Statement 2: The line passes through the point (3,3)
We know that the line passes through two points (0,0) and (3,3)
We can find the slope using the equation (y2 - y1) / (x2 - x1)
SUFFICIENT

Correct Option: D
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Re: What is the slope of line l which passes through the origin of a recta  [#permalink]

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21 May 2016, 09:15
In my modest opinion it should be answer choice (D).

From the stem one of the points that the line intercepts is the origin (0;0) what do I need to know the slope? I need the equation of a parallel line (parallel lines have the same slope) or another point through which the line passes (formula for the slope ; (y2-y1/x2-x1).

Statement one tells me that the line y=x+2 does not intersect the line, so the line of the stem and the line of statement one are parallel. sufficient.

Statement two tells me a second point through which my line passes so I can apply the formula. Sufficient.

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Re: What is the slope of line l which passes through the origin of a recta  [#permalink]

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17 Jan 2019, 19:57
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Re: What is the slope of line l which passes through the origin of a recta   [#permalink] 17 Jan 2019, 19:57
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