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

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New post 12 May 2015, 04:15
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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


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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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New post 12 May 2015, 04:24
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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.

Answer D

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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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New post 12 May 2015, 21:33
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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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Re: Line m lies in the xy-plane. The y-intercept of line m is -2, and line  [#permalink]

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New post 18 May 2015, 06:16
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.
Attachment:
Untitled.png
Untitled.png [ 8.68 KiB | Viewed 1723 times ]


Answer: D.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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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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New post 31 Oct 2016, 17:15
Horizontal line --> slope = 0

Vertical line --> slope is undefined
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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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Re: Line m lies in the xy-plane. The y-intercept of line m is -2, and line &nbs [#permalink] 09 Dec 2017, 02:26
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