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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
If line k passes through the points (48, 33) and (31, 22)
[#permalink]
09 Jul 2018, 06:24
09 Jul 2018, 06:24
1
2
Bookmarks
00:00
Question Stats:
65% (02:32) correct
34% (01:34) wrong based on 66 sessions
Hide Show timer Statistics
If line k passes through the points (48, 33) and (31, 22), what is the x-intercept of line k?
A) -25 10/11
B) -3
C) -1 16/17
D) 1 16/17
E) 25 10/11
*I'll post a solution in 2 days
A) -25 10/11
B) -3
C) -1 16/17
D) 1 16/17
E) 25 10/11
*I'll post a solution in 2 days
Re: If line k passes through the points (48, 33) and (31, 22)
[#permalink]
10 Jul 2018, 19:45
10 Jul 2018, 19:45
We know that every single line in 2D has a formula: y=ax+b
This line goes through 2 points A(x1,y1),B(x2,y2) which means if we input x1 in the above formula we will have y1.
Then we have 2 equations for 2 unknowns a and b: 33=48a+b and 22=31a+b. Solve for a and b to have y=(11/17)*x+33/17
X-intercept means that the point intercept between the line and Ox which means y=0 then solve for x=-3
This line goes through 2 points A(x1,y1),B(x2,y2) which means if we input x1 in the above formula we will have y1.
Then we have 2 equations for 2 unknowns a and b: 33=48a+b and 22=31a+b. Solve for a and b to have y=(11/17)*x+33/17
X-intercept means that the point intercept between the line and Ox which means y=0 then solve for x=-3
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If line k passes through the points (48, 33) and (31, 22)
[#permalink]
11 Jul 2018, 07:01
11 Jul 2018, 07:01
1
GreenlightTestPrep wrote:
If line k passes through the points (48, 33) and (31, 22), what is the x-intercept of line k?
A) -25 10/11
B) -3
C) -1 16/17
D) 1 16/17
E) 25 10/11
A) -25 10/11
B) -3
C) -1 16/17
D) 1 16/17
E) 25 10/11
If we sketch the two given points, we can quickly see that the slope (aka rise/run) of the line = 11/17
So, we can use this information to plot another point on the line...
And another point...
..at which point, we can see that the x-intercept is -3
Answer: B
Cheers,
Brent
