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In the coordinate plane a slope of the line K is 4 times the y-interce

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Math Revolution GMAT Instructor
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In the coordinate plane a slope of the line K is 4 times the y-interce  [#permalink]

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New post 07 Jun 2016, 19:02
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A
B
C
D
E

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  35% (medium)

Question Stats:

68% (01:27) correct 32% (01:53) wrong based on 84 sessions

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In the coordinate plane a slope of the line K is 4 times the y-intercept of the line K. What is the x-intercept of the line K?
A. -4
B. 4
C. -1/4
D. 1/4
E. 2

*An answer will be posted in 2 days.

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Re: In the coordinate plane a slope of the line K is 4 times the y-interce  [#permalink]

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New post 07 Jun 2016, 21:50
MathRevolution wrote:
In the coordinate plane a slope of the line K is 4 times the y-intercept of the line K. What is the x-intercept of the line K?
A. -4
B. 4
C. -1/4
D. 1/4
E. 2

*An answer will be posted in 2 days.


\(y=mx+h\), but \(m = 4h\). So, we have \(y = (4h).x + h\).

Let´s find the X-intercept of the line K:

In this case, \(y = 0\). Thus, \(0 = (4h).x + h\). Solving this equation we will find \(x = -\frac{1}{4}\)

The correctt answer is letter (C).
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Math Revolution GMAT Instructor
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Re: In the coordinate plane a slope of the line K is 4 times the y-interce  [#permalink]

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New post 09 Jun 2016, 20:29
As Y=4mx+m, from 0=4mx+m we get x=-1/4. Hence, the correct answer choice is C.
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Re: In the coordinate plane a slope of the line K is 4 times the y-interce  [#permalink]

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New post 09 Jun 2016, 21:24
MathRevolution wrote:
In the coordinate plane a slope of the line K is 4 times the y-intercept of the line K. What is the x-intercept of the line K?
A. -4
B. 4
C. -1/4
D. 1/4
E. 2

*An answer will be posted in 2 days.


Line equation

y = mx+c (m is the slope, c is the y intercept)

Given values, m= 4c

equation becomes
y = (4c)x+c

X intercept would be (Put y =0)

x = -(c/4c) = -(1/4)

C is the answer.
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Re: In the coordinate plane a slope of the line K is 4 times the y-interce  [#permalink]

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New post 22 Nov 2017, 12:22
MathRevolution wrote:
In the coordinate plane a slope of the line K is 4 times the y-intercept of the line K. What is the x-intercept of the line K?
A. -4
B. 4
C. -1/4
D. 1/4
E. 2


We can use the slope-intercept form of line, recalling that m is the slope and b is the y-intercept:

y = mx + b

Since m = 4b, we have:

y = 4bx + b

To find the x-intercept, we set y equal to zero:

0 = 4bx + b

0 = b(4x + 1)

0 = 4x + 1

-1 = 4x

-1/4 = x

Answer: C
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Re: In the coordinate plane a slope of the line K is 4 times the y-interce &nbs [#permalink] 22 Nov 2017, 12:22
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