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
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What is the \(X\) intercept of non-horizontal line \(m?\)
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terminator12
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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.
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.
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
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
