Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 17 Jul 2019, 20:27

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# In the coordinate plane, the y-intercept of the line k is equal to twi

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 7599
GMAT 1: 760 Q51 V42
GPA: 3.82
In the coordinate plane, the y-intercept of the line k is equal to twi  [#permalink]

### Show Tags

17 Dec 2018, 00:40
1
7
00:00

Difficulty:

25% (medium)

Question Stats:

70% (01:36) correct 30% (01:33) wrong based on 63 sessions

### HideShow timer Statistics

[Math Revolution GMAT math practice question]

In the coordinate plane, the y-intercept of the line $$k$$ is equal to twice its slope. The y-intercept is not $$0$$. What is the x-intercept of the line $$k$$?

$$A. -2$$
$$B. -1$$
$$C. 0$$
$$D. 1$$
$$E. 2$$

_________________
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 $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" GMAT Club Legend Joined: 18 Aug 2017 Posts: 4242 Location: India Concentration: Sustainability, Marketing GPA: 4 WE: Marketing (Energy and Utilities) Re: In the coordinate plane, the y-intercept of the line k is equal to twi [#permalink] ### Show Tags 17 Dec 2018, 01:30 MathRevolution wrote: [Math Revolution GMAT math practice question] In the coordinate plane, the y-intercept of the line $$k$$ is equal to twice its slope. The y-intercept is not $$0$$. What is the x-intercept of the line $$k$$? $$A. -2$$ $$B. -1$$ $$C. 0$$ $$D. 1$$ $$E. 2$$ given c=2m y=mx+c or say y=mx+2m x= y/m-2 since y is not =0 , x intercept would be -2 .. IMO A _________________ If you liked my solution then please give Kudos. Kudos encourage active discussions. GMATH Teacher Status: GMATH founder Joined: 12 Oct 2010 Posts: 937 Re: In the coordinate plane, the y-intercept of the line k is equal to twi [#permalink] ### Show Tags 17 Dec 2018, 05:23 1 MathRevolution wrote: [Math Revolution GMAT math practice question] In the coordinate plane, the y-intercept of the line $$k$$ is equal to twice its slope. The y-intercept is not $$0$$. What is the x-intercept of the line $$k$$? $$A. -2$$ $$B. -1$$ $$C. 0$$ $$D. 1$$ $$E. 2$$ $$k\,\,\,:\,\,\,y = ax + 2a\,\,\,\,\,\,\left( {a \ne 0} \right)\,\,\,\,\,\,\left( * \right)$$ $$?\,\,\,\,:\,\,\,{x_p}\,\,{\rm{when}}\,\,y = 0$$ $$\left( * \right)\,\,\,\, \Rightarrow \,\,\,\,\,\,0 = a\left( {{x_p} + 2} \right)\,\,\,\,\,\,\,\mathop \Rightarrow \limits^{a \ne 0} \,\,\,\,\,\,\,? = {x_p} = - 2$$ This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator (Math for the GMAT) Our high-level "quant" preparation starts here: https://gmath.net CEO Joined: 12 Sep 2015 Posts: 3848 Location: Canada Re: In the coordinate plane, the y-intercept of the line k is equal to twi [#permalink] ### Show Tags 17 Dec 2018, 07:23 Top Contributor 1 MathRevolution wrote: [Math Revolution GMAT math practice question] In the coordinate plane, the y-intercept of the line $$k$$ is equal to twice its slope. The y-intercept is not $$0$$. What is the x-intercept of the line $$k$$? $$A. -2$$ $$B. -1$$ $$C. 0$$ $$D. 1$$ $$E. 2$$ One approach is to choose some values that meet the given information. In the coordinate plane, the y-intercept of the line k is equal to twice its slope. Okay, so let's say the y-intercept of line k is 6. We get: Since the y-intercept (6) is TWICE the slope, we know that the slope = 3 What is the x-intercept of the line k? Since (x, 0) are the coordinates of the x-intercept . . . . . . we can apply the slope formula to wrote: (6 - 0)/(0 - x) = 3 Simplify: 6/(-x) = 3 Multiply both sides by -x to get: 6 = -3x Solve: x = 6/(-3) = -2 Answer: A Cheers, Brent _________________ Test confidently with gmatprepnow.com Director Affiliations: IIT Dhanbad Joined: 13 Mar 2017 Posts: 731 Location: India Concentration: General Management, Entrepreneurship GPA: 3.8 WE: Engineering (Energy and Utilities) Re: In the coordinate plane, the y-intercept of the line k is equal to twi [#permalink] ### Show Tags 17 Dec 2018, 08:19 2 MathRevolution wrote: [Math Revolution GMAT math practice question] In the coordinate plane, the y-intercept of the line $$k$$ is equal to twice its slope. The y-intercept is not $$0$$. What is the x-intercept of the line $$k$$? $$A. -2$$ $$B. -1$$ $$C. 0$$ $$D. 1$$ $$E. 2$$ Equation of a line is y = mx +c Since y intercept = twice of slope So, c = 2m y=mx+2m TO find x intercept lets put y = 0 SO, mx+2m = 0 -> x = -2 Answer A _________________ CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler UPSC Aspirants : Get my app UPSC Important News Reader from Play store. MBA Social Network : WebMaggu Appreciate by Clicking +1 Kudos ( Lets be more generous friends.) What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish". Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 7599 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: In the coordinate plane, the y-intercept of the line k is equal to twi [#permalink] ### Show Tags 19 Dec 2018, 06:00 => The equation of line $$k$$ has the form, $$y = mx + b$$, where $$m$$ is the slope and $$b$$ is the y-intercept. Let $$m$$ be the slope of line $$k$$. Then $$b = 2m$$, and the equation is $$y = mx + 2m = m(x+2).$$ The x-intercept of line $$k$$ is $$-2,$$ since $$-2$$ is a root of $$m(x+2)=0.$$ Therefore, the answer is A. Answer: A _________________ 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$79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6923
Location: United States (CA)
Re: In the coordinate plane, the y-intercept of the line k is equal to twi  [#permalink]

### Show Tags

03 Mar 2019, 19:44
MathRevolution wrote:
[Math Revolution GMAT math practice question]

In the coordinate plane, the y-intercept of the line $$k$$ is equal to twice its slope. The y-intercept is not $$0$$. What is the x-intercept of the line $$k$$?

$$A. -2$$
$$B. -1$$
$$C. 0$$
$$D. 1$$
$$E. 2$$

We can let m = the slope, and thus 2m = the y-intercept. The equation of the line is

y = mx + 2m

To find the x-intercept, we set y = 0 and solve for x. Thus, we have:

0 = mx + 2m

-mx = 2m

Since the y-intercept is non-zero, m is non-zero as well. Thus, we can divide each side by -m:

x = 2m/(-m)

x = 2/(-1) = -2

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Intern
Joined: 26 Mar 2018
Posts: 14
Re: In the coordinate plane, the y-intercept of the line k is equal to twi  [#permalink]

### Show Tags

23 Mar 2019, 09:44
MathRevolution wrote:
[Math Revolution GMAT math practice question]

In the coordinate plane, the y-intercept of the line $$k$$ is equal to twice its slope. The y-intercept is not $$0$$. What is the x-intercept of the line $$k$$?

$$A. -2$$
$$B. -1$$
$$C. 0$$
$$D. 1$$
$$E. 2$$

slope, m=-y/x (1)
Given, y=2m (2)
sustitute (2) in (1),
m=-2m/x
ie., x=-2

Re: In the coordinate plane, the y-intercept of the line k is equal to twi   [#permalink] 23 Mar 2019, 09:44
Display posts from previous: Sort by