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

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Source: — Data Sufficiency |

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


Case b:
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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
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