In the coordinate plane, line M travels through points

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BTGmoderatorLU: Moderator; Posts: 2544; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

by BTGmoderatorLU » Wed Sep 19, 2018 3:19 pm

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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Source: Beat The GMAT — Problem Solving | Wed Sep 19, 2018 3:19 pm

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

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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