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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.

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by BTGModeratorVI » Fri Jul 03, 2020 6:57 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

Answer: C
Source: GMAT prep
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Re: 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

by Brent@GMATPrepNow » Thu Jul 09, 2020 5:12 am
BTGModeratorVI wrote: ↑
Fri Jul 03, 2020 6:57 am
 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

Answer: 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
Brent Hanneson - Creator of GMATPrepNow.com
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