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The y intercept of a line L is 4. If the slope of L is

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by swerve » Fri Apr 05, 2019 10:21 am

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Answers

A

B

C

D

E

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Difficulty—

The y-intercept of a line L is 4. If the slope of L is negative, which of the following could be the x-intercept of L.

I. -1
II. 0
III. 6

A. I only
B. II only
C. III only
D. I and II
E. I and III

The OA is C

Source: GMAT Prep
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by Brent@GMATPrepNow » Fri Apr 05, 2019 10:27 am
swerve wrote:The y-intercept of a line L is 4. If the slope of L is negative, which of the following could be the x-intercept of L.

I. -1
II. 0
III. 6

A. I only
B. II only
C. III only
D. I and II
E. I and III

The OA is C

Source: GMAT Prep
Let's draw a bunch of lines with a negative slope AND have a y-intercept of 4 (ie, passes through the point (0,4))
We get:
Image

As we can see, the x-intercept can have ANY POSITIVE value.
So, the x-intercept COULD be 6, but it could NOT be -1 or 0

Answer: C

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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