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Find the slope of line L which passes through the point (-1,2)

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Joined: 02 Mar 2018
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Schools: IIMA , IIMA PGPX"20
GMAT 1: 640 Q51 V26
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Find the slope of line L which passes through the point (-1,2)  [#permalink]

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New post Updated on: 05 Aug 2018, 13:06
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Question Stats:

71% (02:09) correct 29% (01:47) wrong based on 14 sessions

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Find the slope of line L which passes through the point (−1, 2) and the point of intersection of lines 2x + 3y = 5 and x + 2y = 3.

0
1
−1/2
1/3
1/2

Originally posted by gsingh0711 on 05 Aug 2018, 09:23.
Last edited by gsingh0711 on 05 Aug 2018, 13:06, edited 2 times in total.
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Posts: 70
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GMAT 1: 640 Q51 V26
GPA: 3.1
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Re: Find the slope of line L which passes through the point (-1,2)  [#permalink]

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New post 05 Aug 2018, 09:24
xplanation:

Slope of line passing through points (x1, y1) and (x2, y2) is given by, m=y2−y1x2−x1

Given that line L passes through the point (−1, 2) and the point of intersection of lines 2x + 3y = 5 and x + 2y = 3
To find point of intersection, we solve the 2 equations
2x + 3y = 5
x + 2y = 3
Multiplying second equation by 2 and subtracting first equation, we get
y = 1 and x = 1
⇒ line 1 passes through (1, 1) and (−1, 2).

Using the slope formula:
m=2−1(−1)−1=−1/2
Answer: C.

I think, I deserve a kudus LOL :D
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Re: Find the slope of line L which passes through the point (-1,2)  [#permalink]

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New post 05 Aug 2018, 10:29
gsingh0711 wrote:
Find the slope of line L which passes through the point (−1, 2) and the point of intersection of lines 2x + 3y = 5 and x + 2y = 3.

gsingh0711 - what are the answer choices for this question?
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that within me there lay an invincible summer.

-- Albert Camus, "Return to Tipasa"

Re: Find the slope of line L which passes through the point (-1,2) &nbs [#permalink] 05 Aug 2018, 10:29
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