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

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

by Gmat_mission » Thu Jul 02, 2020 6:37 am

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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 \((-3, 2).\)

[spoiler]OA=E[/spoiler]

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 » Thu Jul 02, 2020 10:13 am

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Gmat_mission wrote: ↑
Thu Jul 02, 2020 6:37 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 \((-3, 2).\)

[spoiler]OA=E[/spoiler]

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
Brent Hanneson - Creator of GMATPrepNow.com
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