GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
In the coordinate system above, the slope of line segment AB is
[#permalink]
08 Dec 2022, 09:45
08 Dec 2022, 09:45
Expert Reply
1
Bookmarks
00:00
Question Stats:
84% (01:26) correct
15% (02:33) wrong based on 19 sessions
Hide Show timer Statistics
Attachment:
GRE The length of line segment AB.jpg [ 16.23 KiB | Viewed 1090 times ]
In the coordinate system above, the slope of line segment AB is 4/3
Quantity A |
Quantity B |
The length of line segment AB |
x |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Re: In the coordinate system above, the slope of line segment AB is
[#permalink]
11 Dec 2022, 04:00
11 Dec 2022, 04:00
Expert Reply
OE
C Break this one into bite-sized pieces: You need x in order to find the length of AB, so find x first. If you insert the given values into the slope formula, \(\frac{y_2-y_1}{x_2-x_1}\) , you get 6-2/x-2=4/3 , so x = 5. Now you need to find the length of AB. Rather than using the distance formula, turn AB into the hypotenuse of a right triangle and find the lengths of the other sides. To make the triangle, add a new vertex at coordinate (5, 2): The length of the horizontal leg is 5 − 2 = 3, and that of the vertical leg is 6 − 2 = 4, yielding the familiar 3-4-5 triangle. The length of segment AB = 5, so the two quantities are equal.
C Break this one into bite-sized pieces: You need x in order to find the length of AB, so find x first. If you insert the given values into the slope formula, \(\frac{y_2-y_1}{x_2-x_1}\) , you get 6-2/x-2=4/3 , so x = 5. Now you need to find the length of AB. Rather than using the distance formula, turn AB into the hypotenuse of a right triangle and find the lengths of the other sides. To make the triangle, add a new vertex at coordinate (5, 2): The length of the horizontal leg is 5 − 2 = 3, and that of the vertical leg is 6 − 2 = 4, yielding the familiar 3-4-5 triangle. The length of segment AB = 5, so the two quantities are equal.
Re: In the coordinate system above, the slope of line segment AB is
[#permalink]
02 Sep 2024, 19:08
02 Sep 2024, 19:08
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
