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What is the X intercept of non horizontal line m? (1) The slope of m

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What is the X intercept of non horizontal line m? (1) The slope of m  [#permalink]

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New post 14 Jun 2018, 21:21
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

49% (01:43) correct 51% (01:24) wrong based on 83 sessions

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Re: What is the X intercept of non horizontal line m? (1) The slope of m  [#permalink]

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New post 14 Jun 2018, 21:30
Bunuel wrote:
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.


(1) The slope of m is 4 times the y intercept of m
=> -a/b=4*-c/b
=>-c/a=-1/4

Sufficient

(2) The y intercept of line m is -2
=>-c/b=-2

Insufficient

A is the Answer
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Re: What is the X intercept of non horizontal line m? (1) The slope of m  [#permalink]

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New post 14 Jun 2018, 21:31
1
Bunuel wrote:
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.


Given:
y = mx + B
m cannot be zero
x intercept = value for x when y = 0

Statement 1)
m = 4B

0 = 4B(x) + B
0 = B(4x + 1)

B cannot be zero because then m would be zero. Therefore 4x+1 = 0.
x = -1/4

-----> SUFFICIENT

Statement 2)
y = mx - 2
0 = mx -2

----> Can't solve for x ----> INSUFFICIENT

Answer: A
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Re: What is the X intercept of non horizontal line m? (1) The slope of m  [#permalink]

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New post 23 Jun 2018, 09:55
line is y=mx+c

1) y=4cx+c

for x intercept y =0.
so, c(4x+1)=0. c cant be zero here. so, x=-1/4 SUFFICIENT

2) doesn't say much. INSUFFICIENT
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Re: What is the X intercept of non horizontal line m? (1) The slope of m  [#permalink]

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New post 28 Nov 2019, 06:56
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Re: What is the X intercept of non horizontal line m? (1) The slope of m   [#permalink] 28 Nov 2019, 06:56
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