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 a rectangular coordinate system, straight line k passes t
[#permalink]
05 Aug 2020, 12:18
05 Aug 2020, 12:18
Expert Reply
00:00
Question Stats:
87% (01:18) correct
12% (01:14) wrong based on 33 sessions
Hide Show timer Statistics
In a rectangular coordinate system, straight line k passes through points (0, 0) and (3, 2). Which of the following are coordinates of a point on k ?
A. (9, 4)
B. (4, 9)
C. (–4, 6)
D. (–6, –9)
E. (–6, –4)
A. (9, 4)
B. (4, 9)
C. (–4, 6)
D. (–6, –9)
E. (–6, –4)
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: In a rectangular coordinate system, straight line k passes t
[#permalink]
05 Aug 2020, 12:38
05 Aug 2020, 12:38
2
Carcass wrote:
In a rectangular coordinate system, straight line k passes through points (0, 0) and (3, 2). Which of the following are coordinates of a point on k ?
A. (9, 4)
B. (4, 9)
C. (–4, 6)
D. (–6, –9)
E. (–6, –4)
Key concept: If a point lies ON a line, then the coordinates of that point must SATISFY the equation of that line. A. (9, 4)
B. (4, 9)
C. (–4, 6)
D. (–6, –9)
E. (–6, –4)
So, let's first find the equation of the line.
Slope = (y2 - y1)/(x2 - x1) = (2 - 0)/(3 - 0) = 2/3
The y-intercept = 0
So, the equation of the line, in slope y-intercept form, is: y = (2/3)x + 0 or just y = 2x/3
Now check each answer choice to see which coordinates satisfy the equation y = 2x/3
A. (9, 4)
Plug values into y = 2x/3 to get: 4 = (2)(9)/3
Simplify: 9 = 6
Doesn't work.
ELIMINATE A
B. (4, 9)
Plug values into y = 2x/3 to get: 9 = (2)(4)/3
Simplify: 9 = 8/3
Doesn't work.
ELIMINATE B
C. (–4, 6)
Plug values into y = 2x/3 to get: 6 = (2)(-4)/3
Simplify: 6 = -8/3
Doesn't work.
ELIMINATE C
D. (–6, –9)
Plug values into y = 2x/3 to get: -9 = (2)(-6)/3
Simplify: -9 = -4
Doesn't work.
ELIMINATE D
E. (–6, –4)
Plug values into y = 2x/3 to get: -4 = (2)(-6)/3
Simplify: -4 = -4
WORKS!!
Answer: E
Cheers,
Brent
Re: In a rectangular coordinate system, straight line k passes t
[#permalink]
05 Aug 2020, 23:17
05 Aug 2020, 23:17
1
Hello sir, please check option E, it should be -4 = -4 
