Hi,
I'm trying to reacquaint myself with coordinate geometry. On page 137 of the 12th edition, there's a graph with two points: (-2,4) and (3,-3). How do you determine which pair is (x1, y1) and which pair is (x2, y2), for the slope formula?
Thanks,
David
Coordinate Geometry
This topic has expert replies
-
- Newbie | Next Rank: 10 Posts
- Posts: 7
- Joined: Tue Mar 29, 2011 1:39 pm
- jaymw
- Master | Next Rank: 500 Posts
- Posts: 144
- Joined: Sun Aug 29, 2010 9:17 am
- Thanked: 40 times
- Followed by:4 members
- GMAT Score:760
From your example:
(-2,4) & (3,-3)
(x1,x2) & (y1,y2)
So the slope is: (-3-4)/(3-(-2))= -7/5 = -1.4
The order of the given points does not matter though.
(3,-3) & (-2,4)
Slope: (4-(-3))/(-2-3) = 7/(-5) = -1.4
The only thing you have to remember is that points in the coordinate plane are always given as (x-coordinate,y-coordinate). With that in mind, you can't go wrong.
(-2,4) & (3,-3)
(x1,x2) & (y1,y2)
So the slope is: (-3-4)/(3-(-2))= -7/5 = -1.4
The order of the given points does not matter though.
(3,-3) & (-2,4)
Slope: (4-(-3))/(-2-3) = 7/(-5) = -1.4
The only thing you have to remember is that points in the coordinate plane are always given as (x-coordinate,y-coordinate). With that in mind, you can't go wrong.
GMAT/MBA Expert
- Anurag@Gurome
- GMAT Instructor
- Posts: 3835
- Joined: Fri Apr 02, 2010 10:00 pm
- Location: Milpitas, CA
- Thanked: 1854 times
- Followed by:523 members
- GMAT Score:770
It does not matter at all. You can see below:bruin61579 wrote:Hi,
I'm trying to reacquaint myself with coordinate geometry. On page 137 of the 12th edition, there's a graph with two points: (-2,4) and (3,-3). How do you determine which pair is (x1, y1) and which pair is (x2, y2), for the slope formula?
Thanks,
David
If (x1, y1) = (-2, 4), and (x2, y2) = (3, -3)
Then slope = (y2 - y1)/(x2 - x1) = (-3 - 4)/(3 + 2) = -7/5
If (x1, y1) = (3, -3), and (x2, y2) = (-2, 4)
Then slope = (y2 - y1)/(x2 - x1) = (4 + 3)/(-2 - 3) = -7/5
So, it can be seen that the slope is the same. I hope that helps.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/