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What is the \(X\) intercept of non-horizontal line \(m?\)

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Source: — Data Sufficiency |
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Re: What is the \(X\) intercept of non-horizontal line \(m?\)

by terminator12 » Thu Jul 30, 2020 6:00 pm

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B

C

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E

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Consider a line: y = mx + c

Slope = m
X intercept (when y = 0) = \(\frac{-c}{m}\)
Y intercept (when x = 0) = c

Statement 1:
m = 4*c
We see \(\frac{-c}{m}\) = \(\frac{-1}{4}\)
Hence, this is sufficient.

Statement 2:
c = -2
We have no information on m
Hence, this is insufficient.

Hence, answer is A.
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Re: What is the \(X\) intercept of non-horizontal line \(m?\)

by swerve » Fri Jul 31, 2020 4:55 am

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VJesus12 wrote: ↑
Thu Jul 30, 2020 10:37 am
 What is the \(X\) intercept of non-horizontal line \(m?\)

(1) The slope of \(m\) is 4 times the \(y\)-intercept of \(m.\)
(2) The \(y\)-intercept of line \(m\) is \(-2.\)

[spoiler]OA=A[/spoiler]

Source: Manhattan GMAT
Line is \(y=mx+c\)

1) \(y=4cx+c\)

for \(x\)-intercept \(y =0\).
So, \(c(4x+1)=0\). \(c\) can't be zero here. So, \(x=-\dfrac{1}{4}\). Sufficient \(\Large{\color{green}\checkmark}\)

2) Doesn't say much. Insufficient \(\Large{\color{red}\chi}\)

Hence, A
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