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In the rectangular coordinate system, a line passes through the points (0,5) and (7,0). Which of the following points mu

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by BTGModeratorVI » Mon Sep 14, 2020 8:42 am

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Answers

A

B

C

D

E

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Difficulty—

In the rectangular coordinate system, a line passes through the points (0,5) and (7,0). Which of the following points must the line also pass through?

A)(-14, 10)
B)(-7, 5)
C)(12, -4)
D)(14, -5)
E)(21, -9)

Answer: D
Source: Manhattan prep
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Re: In the rectangular coordinate system, a line passes through the points (0,5) and (7,0). Which of the following point

by Brent@GMATPrepNow » Fri Sep 18, 2020 4:47 am
BTGModeratorVI wrote: ↑
Mon Sep 14, 2020 8:42 am
 In the rectangular coordinate system, a line passes through the points (0,5) and (7,0). Which of the following points must the line also pass through?

A)(-14, 10)
B)(-7, 5)
C)(12, -4)
D)(14, -5)
E)(21, -9)

Answer: D
Source: Manhattan prep
Here's one possible approach..

First plot of the two given points:
Image

Notice that, to get from one point (0, 5) to the other point (7, 0), we must go down 5 units and then to the right 7 units
Image

If we continue this pattern....
Image
.... The next point on the line is at (14, -5)

Answer: D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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