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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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07 Jun 2016, 19:02
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35% (medium)

Question Stats:

65% (01:05) correct 35% (01:16) wrong based on 52 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.
[Reveal] Spoiler: OA

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Kudos [?]: 3137 [0], given: 0

Intern
Joined: 17 Jun 2013
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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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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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Kudos [?]: 3 [0], given: 3

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4459

Kudos [?]: 3137 [0], given: 0

GPA: 3.82
Re: In the coordinate plane a slope of the line K is 4 times the y-interce [#permalink]

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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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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)

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Target Test Prep Representative
Affiliations: Target Test Prep
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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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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

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Kudos [?]: 979 [0], given: 5

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