BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

all lie on the same line

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members
Location: India
Thanked: 267 times
GMAT Score:760
by sanju09 » Wed Sep 15, 2010 9:50 pm
If points (0, -3), (6, 0) and (k, 10) all lie on the same line, what is the value of k?
(A) 2
(B) 8
(C) 14
(D) 22
(E) 26


[spoiler]Source: https://readyforgmat.com[/spoiler]
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Newbie | Next Rank: 10 Posts
Posts: 3
Joined: Fri May 28, 2010 7:10 pm

by Neo Gates » Thu Sep 16, 2010 2:55 am
sanju09 wrote:If points (0, -3), (6, 0) and (k, 10) all lie on the same line, what is the value of k?
(A) 2
(B) 8
(C) 14
(D) 22
(E) 26


[spoiler]Source: https://readyforgmat.com[/spoiler]
14
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Newbie | Next Rank: 10 Posts
Posts: 5
Joined: Sun May 09, 2010 6:15 am
Thanked: 1 times

by MariaS » Thu Sep 16, 2010 4:23 am
Let's draw the points and the line:


Image

Point (k,10) is show in yellow on line y=10 (the purple line). In order to find value k, we need to find the the line that connects all 3 points (shown in orange).
We can find it with the 2 points we are given: (6,0) and (0,-3). the slope is worth: (Change in Y)/Change in x) = [0-(-3)] / (6-0) =3/6=1/2
so the equation of the line we are looking for is: y-y'=slope(x-x') where slope is 1/2, as shown above, and (x',y') are the coordinates of any point residing on this line. We are given 2 of points, so use of either one will do: y-(-3)=(1/2)*(x-0) --> y=(1/2)x-3.
We are given that point (k, 10) is also on this line, so: (1/2)k-3=10 --> (1/2)k=13 --> k=26
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1