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In the coordinate plane, line M travels through points

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by BTGmoderatorLU » Wed Sep 19, 2018 3:19 pm
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Source: Veritas Prep

In the coordinate plane, line M travels through points (9, 10), (0, 4), and (-9, n). What is the value of n?

A. -10
B. -6
C. -10/3
D. -2
E. -4/3

The OA is D.
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by Brent@GMATPrepNow » Wed Sep 19, 2018 4:27 pm
BTGmoderatorLU wrote:Source: Veritas Prep

In the coordinate plane, line M travels through points (9, 10), (0, 4), and (-9, n). What is the value of n?

A. -10
B. -6
C. -10/3
D. -2
E. -4/3
KEY CONCEPT: In a straight line with slope m, any segment of the line will have slope m.

To get from point (9, 10) to point (0, 4), we start at (9, 10) and move 9 spaces to the left and 6 spaces down to get to (0, 4)
Let's keep going.
Starting at (0, 4), we can, once again, move 9 spaces to the left and 6 spaces down to get to (-9, -2)

Answer: D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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