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Lines k and m are parallel to each other. Is the slope of line k positive?

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by BTGModeratorVI » Mon Sep 14, 2020 8:43 am

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Answers

A

B

C

D

E

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Difficulty—

Lines k and m are parallel to each other. Is the slope of line k positive?

(1) Line k passes through the point (3, 2).
(2) Line m passes through the point (-3, 2).


Answer: E
Source: Official guide
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Source: — Data Sufficiency |

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Re: Lines k and m are parallel to each other. Is the slope of line k positive?

by Brent@GMATPrepNow » Wed Sep 16, 2020 5:27 am
BTGModeratorVI wrote: ↑
Mon Sep 14, 2020 8:43 am
 Lines k and m are parallel to each other. Is the slope of line k positive?

(1) Line k passes through the point (3, 2).
(2) Line m passes through the point (-3, 2).


Answer: E
Source: Official guide
Target question: Is the slope of line k positive?

Given: Lines k and m are parallel to each other.

Let's jump straight to....

Statements 1 and 2 combined
There are many cases that satisfy BOTH statements. Here are two:

Case a:
Image
In this case, the slope of line k is POSITIVE


Case b:
Image
In this case, the slope of line k is NEGATIVE

Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E
Brent Hanneson - Creator of GMATPrepNow.com
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