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Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  Line k lies in the xy-plane. The x-intercept of line k is -4, and line

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Math Expert V
Joined: 02 Sep 2009
Posts: 55635
Line k lies in the xy-plane. The x-intercept of line k is -4, and line  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 79% (02:17) correct 21% (02:25) wrong based on 91 sessions

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Line k lies in the xy-plane. The x-intercept of line k is -4, and line k passes through the midpoint of the line segment whose endpoints are (2, 9), and (2, 0). What is the slope of line k ?

A. 1/8
B. 1/4
C. 1/2
D. 3/4
E. 7/8

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CEO  P
Joined: 18 Aug 2017
Posts: 3838
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Line k lies in the xy-plane. The x-intercept of line k is -4, and line  [#permalink]

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Bunuel wrote:
Line k lies in the xy-plane. The x-intercept of line k is -4, and line k passes through the midpoint of the line segment whose endpoints are and (2, 9), and (2, 0). What is the slope of line k ?

A. 1/8
B. 1/4
C. 1/2
D. 3/4
E. 7/8

Bunuel : is the bold part of question correct?

]Line k lies in the xy-plane. The x-intercept of line k is -4, and line k passes through the midpoint of the line segment whose endpoints are and (2, 9), and (2, 0). What is the slope of line k ?
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Math Expert V
Joined: 02 Sep 2009
Posts: 55635
Re: Line k lies in the xy-plane. The x-intercept of line k is -4, and line  [#permalink]

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Archit3110 wrote:
Bunuel wrote:
Line k lies in the xy-plane. The x-intercept of line k is -4, and line k passes through the midpoint of the line segment whose endpoints are and (2, 9), and (2, 0). What is the slope of line k ?

A. 1/8
B. 1/4
C. 1/2
D. 3/4
E. 7/8

Bunuel : is the bold part of question correct?

]Line k lies in the xy-plane. The x-intercept of line k is -4, and line k passes through the midpoint of the line segment whose endpoints are and (2, 9), and (2, 0). What is the slope of line k ?

Extra "and" there was a typo. Edited. Thank you.
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CEO  P
Joined: 18 Aug 2017
Posts: 3838
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Line k lies in the xy-plane. The x-intercept of line k is -4, and line  [#permalink]

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Bunuel wrote:
Line k lies in the xy-plane. The x-intercept of line k is -4, and line k passes through the midpoint of the line segment whose endpoints are (2, 9), and (2, 0). What is the slope of line k ?

A. 1/8
B. 1/4
C. 1/2
D. 3/4
E. 7/8

good question..

plot on graph the values for (2,9) & (2,0) ; the mid point of this line would be (2,4.5) which would be the point of intersection of the line k
slope of line k : ( 4.5-0)/(2+4) = 4.5/6 ~ 3/4 IMO D
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Originally posted by Archit3110 on 20 Dec 2018, 01:13.
Last edited by Archit3110 on 28 Dec 2018, 01:07, edited 1 time in total.
Manager  G
Joined: 13 Oct 2013
Posts: 136
Concentration: Strategy, Entrepreneurship
Line k lies in the xy-plane. The x-intercept of line k is -4, and line  [#permalink]

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can we calculate slope from equation y =mx+c?
4.5= m*2-4 (here -4 is x intercept)
then m =8.5/2=17/4 , what is wring here?

Archit3110 wrote:
Bunuel wrote:
Line k lies in the xy-plane. The x-intercept of line k is -4, and line k passes through the midpoint of the line segment whose endpoints are (2, 9), and (2, 0). What is the slope of line k ?

A. 1/8
B. 1/4
C. 1/2
D. 3/4
E. 7/8

good question..

plot on graph the values for (2,9) & (2,0) ; the mid point of this line would be (2,4.5) which would be the point of intersection of the line k

mid point of line k : ( 4.5-0)/(2+4) = 4.5/6 ~ 3/4 IMO D

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Joined: 18 Aug 2017
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Location: India
Concentration: Sustainability, Marketing
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WE: Marketing (Energy and Utilities)
Re: Line k lies in the xy-plane. The x-intercept of line k is -4, and line  [#permalink]

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sunita123
In a linear equation y= mx + c
: m is the slope of the line. c is the value of the intercept on the y-axis.

-4 is the x intercept not y..

Hope this helps..

sunita123 wrote:
can we calculate slope from equation y =mx+c?
4.5= m*2-4 (here -4 is x intercept)
then m =8.5/2=17/4 , what is wring here?

Archit3110 wrote:
Bunuel wrote:
Line k lies in the xy-plane. The x-intercept of line k is -4, and line k passes through the midpoint of the line segment whose endpoints are (2, 9), and (2, 0). What is the slope of line k ?

A. 1/8
B. 1/4
C. 1/2
D. 3/4
E. 7/8

good question..

plot on graph the values for (2,9) & (2,0) ; the mid point of this line would be (2,4.5) which would be the point of intersection of the line k

mid point of line k : ( 4.5-0)/(2+4) = 4.5/6 ~ 3/4 IMO D

_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Manager  G
Joined: 13 Oct 2013
Posts: 136
Concentration: Strategy, Entrepreneurship
Re: Line k lies in the xy-plane. The x-intercept of line k is -4, and line  [#permalink]

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Ah , my bad , that is Y intercept . Thank you very much Archit3110.
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Kindly press +1 Kudos if my post helped you in any way Intern  B
Joined: 30 Nov 2018
Posts: 7
Re: Line k lies in the xy-plane. The x-intercept of line k is -4, and line  [#permalink]

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Archit3110 is it the slope or the midpoint of line k ? y2-y1/x2-x1
CEO  P
Joined: 18 Aug 2017
Posts: 3838
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Line k lies in the xy-plane. The x-intercept of line k is -4, and line  [#permalink]

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Srikantchamarthi wrote:
Archit3110 is it the slope or the midpoint of line k ? y2-y1/x2-x1

Srikantchamarthi

slope m = y2-y1/x2-x1

mid point= x1+x2/2 , y1+y2/2
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If you liked my solution then please give Kudos. Kudos encourage active discussions. Re: Line k lies in the xy-plane. The x-intercept of line k is -4, and line   [#permalink] 28 Dec 2018, 01:08
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Line k lies in the xy-plane. The x-intercept of line k is -4, and line  