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

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
GMATLiveTeach Starts Oct 17
Chris Peckover, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Chris Peckover, 100th-Percentile GMAT Scorer

Oct 17 · Chris Peckover
Sat · 11:00 AM to 2:00 PM ET
Oct 20 · Chris Peckover
Tue, Thu · 8:00 to 10:00 PM ET
Oct 25 · Josh Braslow
Sun · 1:00 to 4:00 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemand 5 seats left Start anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

Geometry

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Master | Next Rank: 500 Posts
Posts: 269
Joined: Sun Apr 27, 2014 10:33 pmFollowed by: 5 members
Thanked: 8 times
by prachi18oct » Thu Jul 09, 2015 10:52 am
How many integer points lie between points A and B on the line segment AB, if A is (5, 7) and B is (10, -3)?
A)4
B)5
C)6
D)10
E)15

No clue how to proceed with this. Please help!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: Sun Jun 23, 2013 6:38 pmFollowed by: 511 members
Location: Palo Alto, CA
Thanked: 2867 times
GMAT Score:800

by [email protected] » Thu Jul 09, 2015 3:15 pm
Hi prachi18oct,

You might find it helpful to draw the two points and the line segment between them, but doing so is not necessary to get to the solution.

To figure out the number of integer points between point A and point B, we need to know the SLOPE of the line segment (from the answer choices, we know that there are from 4 to 15 integer points):

Slope = (Change in Y)/(Change in X) = Rise/Run

Point A = (5,7)
Point B = (10,-3)

Slope = (7 - (-3))/(5-10) = 10/-5 = -2

Since the slope is - 2, for every 1 we "move to the right", we move "down" 2.... we can now 'map out' the various integer co-ordinates between Point A and Point B:

Point A = (5,7)
(6, 5)
(7, 3)
(8, 1)
(9, -1)
Point B = (10, -3)

Since the question asks for the number of points BETWEEN A and B, the answer is 4.

Final Answer: A

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 269
Joined: Sun Apr 27, 2014 10:33 pmFollowed by: 5 members
Thanked: 8 times

by prachi18oct » Thu Jul 09, 2015 7:06 pm
[email protected] wrote:Hi prachi18oct,

Slope = (7 - (-3))/(5-10) = 10/-5 = -2

Since the slope is - 2, for every 1 we "move to the right", we move "down" 2.... we can now 'map out' the various integer co-ordinates between Point A and Point B:


GMAT assassins aren't born, they're made,
Rich
Can you explain the bolded part in detail.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members
Location: New York, NY
Thanked: 13060 times
GMAT Score:790

by GMATGuruNY » Thu Jul 09, 2015 7:32 pm
prachi18oct wrote:How many integer points lie between points A and B on the line segment AB, if A is (5, 7) and B is (10, -3)?
A)4
B)5
C)6
D)10
E)15
Slope = (y₂ - y�)/(x₂ - x�) = (-3-7)/(10-5) = -10/5 = -2.
Thus, the equation of the line is as follows:
y = -2x + b.

To determine the value of b, plug (x, y) = (5,7) into y = -2x + b and solve for b:
7 = -2*5 + b
b = 17.
Thus, the equation of the line is as follows:
y = -2x + 17.

Since A = (5, 7) and B = (10, -3), any point BETWEEN A AND B must have an x-coordinate BETWEEN 5 AND 10.
Between 5 and 10 there are four integer options for x:
6, 7, 8 and 9.
Plug x=6, x=7, x=8 and x=9 into y = -2x + 17.

If x=6, then y = -2x + 17 = -2*6 + 17 = 5.
If x=7, then y = -2x + 17 = -2*7 + 17 = 3.
If x=8, then y = -2x + 17 = -2*8 + 17 = 1.
If x=9, then y = -2x + 17 = -2*9 + 17 = -1.

Thus, four points between A and B have coordinates that are integer values:
(6, 5)
(7, 3)
(8, 1)
(9, -1).

The correct answer is A.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1