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In the x-y coordinate plane, lines J, K and L are defined

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In the x-y coordinate plane, lines J, K and L are defined [#permalink] New post 30 Jul 2018, 07:27
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Question Stats:

66% (04:35) correct 33% (04:18) wrong based on 9 sessions
Line J: 4x - 7 = 6y
Line K: 6y + 3x = -2
Line L: 2x = 5 - y

In the x-y coordinate plane, lines J, K and L are defined by the above equations.
Point B is the point of intersection of lines J and K. Point C is the point of intersection of lines K and L.
What is the slope of line segment BC?

A) -3/2
B) -2/3
C) -1/2
D) 1/2
E) 2/3


*I'll post a solution in 2 days
[Reveal] Spoiler: OA

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Brent Hanneson – Creator of greenlighttestprep.com
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1 KUDOS received
GRE Instructor
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Joined: 10 Apr 2015
Posts: 1177
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Kudos [?]: 1053 [1] , given: 6

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Re: In the x-y coordinate plane, lines J, K and L are defined [#permalink] New post 01 Aug 2018, 16:02
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Expert's post
GreenlightTestPrep wrote:
Line J: 4x - 7 = 6y
Line K: 6y + 3x = -2
Line L: 2x = 5 - y

In the x-y coordinate plane, lines J, K and L are defined by the above equations.
Point B is the point of intersection of lines J and K. Point C is the point of intersection of lines K and L.
What is the slope of line segment BC?

A) -3/2
B) -2/3
C) -1/2
D) 1/2
E) 2/3



Key Concepts: point B lies on line K, and point C lies on line K
Since both points lie on line K, the slope between points B and C will be the same as the slope of line K.


To find the slope of line K, let's take the equation of line K (6y + 3x = -2), and rewrite it in slope y-intercept form (y = mx + b)
Take: 6y + 3x = -2
Subtract 3x from both sides to get: 6y = -3x - 2
Divide both sides by 6 to get: y = (-3/6)x - 2/6
Simplify to get: y = (-1/2)x - 1/3

So, line K has a slope of -1/2 and a y-intercept of -1/3

Answer: C

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com
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Re: In the x-y coordinate plane, lines J, K and L are defined [#permalink] New post 02 Nov 2018, 10:09
I took the long method which was rather stupid.
Re: In the x-y coordinate plane, lines J, K and L are defined   [#permalink] 02 Nov 2018, 10:09
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In the x-y coordinate plane, lines J, K and L are defined

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