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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
Joined: 16 Aug 2015
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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
00:00

Difficulty:

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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"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Intern Joined: 17 Jun 2013 Posts: 6 Re: In the coordinate plane a slope of the line K is 4 times the y-interce [#permalink] ### Show Tags 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). _________________ Prof Marcelo Roseira Curso FDX GMAT Prep Online Brazil Twitter: @cursofdx Instagram: @cursofdx Skype: fdx.anpad Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6390 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: In the coordinate plane a slope of the line K is 4 times the y-interce [#permalink] ### Show Tags 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. _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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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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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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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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