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Line m lies in the xy-plane. The y-intercept of line m is -2, and line

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Math Expert
Joined: 02 Sep 2009
Posts: 50623
Line m lies in the xy-plane. The y-intercept of line m is -2, and line  [#permalink]

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12 May 2015, 03:15
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Difficulty:

35% (medium)

Question Stats:

73% (02:00) correct 27% (02:19) wrong based on 191 sessions

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Line m lies in the xy-plane. The y-intercept of line m is -2, and line m passes through the midpoint of the line segment whose endpoints are (2, 4) and (6, -8). What is the slope of line m ?

A. -3
B. -1
C. -1/3
D. 0
E. Undefined

Kudos for a correct solution.

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Re: Line m lies in the xy-plane. The y-intercept of line m is -2, and line  [#permalink]

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12 May 2015, 03:24
5
y intercept of line m is -2 ; i.e. one point on the line m is (0,-2)
Line m passes through the midpoint of (2,4) & (6, -8) i.e. ((2+6)/2 , (4+-8)/2) = (4, -2)

So two point on line m are (0,-2) and (4, -2) As the y coordinates of the two points are same, this is a line parallel to X axis.

So slope is zero.

Ambarish
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Re: Line m lies in the xy-plane. The y-intercept of line m is -2, and line  [#permalink]

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12 May 2015, 20:33
1
Bunuel wrote:
Line m lies in the xy-plane. The y-intercept of line m is -2, and line m passes through the midpoint of the line segment whose endpoints are (2, 4) and (6, -8). What is the slope of line m ?

A. -3
B. -1
C. -1/3
D. 0
E. Undefined

Kudos for a correct solution.

Ans: D
Solution: line m goes through midpoint of (2, 4) and (6, -8). midpoint is (4,-2)
as we can see that the y axis of intercept point is (0,-2) means line m is parallel to x axis
slope M= 0
Ans: D
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Math Expert
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Posts: 50623
Re: Line m lies in the xy-plane. The y-intercept of line m is -2, and line  [#permalink]

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18 May 2015, 05:16
Bunuel wrote:
Line m lies in the xy-plane. The y-intercept of line m is -2, and line m passes through the midpoint of the line segment whose endpoints are (2, 4) and (6, -8). What is the slope of line m ?

A. -3
B. -1
C. -1/3
D. 0
E. Undefined

Kudos for a correct solution.

The y-intercept of line m is -2 means that m passes through the point (0, -2).

The coordinates of the midpoint of the line segment whose endpoints are (2, 4) and (6, -8) is ((2+6)/2; (4 + (-8))/2) = (4, -2).

So, we should find the slope of a line passing through (0, -2) and (4, -2). Since the line passing through these points would be horizontal, then it's slope is 0.
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Re: Line m lies in the xy-plane. The y-intercept of line m is -2, and line  [#permalink]

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31 Oct 2016, 16:15
Horizontal line --> slope = 0

Vertical line --> slope is undefined
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Joined: 09 Sep 2013
Posts: 8800
Re: Line m lies in the xy-plane. The y-intercept of line m is -2, and line  [#permalink]

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09 Dec 2017, 01:26
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Line m lies in the xy-plane. The y-intercept of line m is -2, and line &nbs [#permalink] 09 Dec 2017, 01:26
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