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

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

Official Answer and Stats are available only to registered users. Register/Login.

_________________

Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772 Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html

Re: A line in the xy-plane passes through the origin and has a slope of 1/
[#permalink]

Show Tags

20 Jun 2017, 07:34

2

Top Contributor

GMATinsight wrote:

A line in the xy-plane passes through the origin and has a slope of 1/7 Which of the following points lies on the line?

A) (0, 7) B) (1, 7) C) (7, 7) D) (14, 2) E) (7, 14)

Let's write the equation of the line in slope y-intercept form y = mx + b, where m = the slope and b = the y-intercept.

So, m = 1/7 And, since the line passes through the origin (0,0), we know that b (the y-intercept) = 0 So, the equation of the line is: y = (1/7)x + 0 Or just y = (1/7)x

So, all points (x, y) ON the line will satisfy the equation y = (1/7)x Let's check the answer choices.

A) (0, 7) plug x = 0 and y = 7 into the equation of the line to get: 7 = (1/7)(0) Doesn't work. So, (0,7) is NOT on the line. B) (1, 7) plug x = 1 and y = 7 into the equation of the line to get: 7 = (1/7)(1) Doesn't work. So, (1,7) is NOT on the line. C) (7, 7) plug x = 7 and y = 7 into the equation of the line to get: 7 = (1/7)(7) Doesn't work. So, (7,7) is NOT on the line. D) (14, 2) plug x = 14 and y = 2 into the equation of the line to get: 2 = (1/7)(14) This WORKS. So, (2,14) IS on the line.

Re: A line in the xy-plane passes through the origin and has a slope of 1/
[#permalink]

Show Tags

20 Jun 2017, 10:00

Answer is D Slope intercept form of the line y=mx+c Line passes through origin thus we have c=0 y=mx m=1/7 7y=x only D satisfies the equation.
_________________

A line in the xy-plane passes through the origin and has a slope of 1/
[#permalink]

Show Tags

20 Jun 2017, 10:57

GMATinsight wrote:

A line in the xy-plane passes through the origin and has a slope of 1/7 Which of the following points lies on the line?

A) (0, 7) B) (1, 7) C) (7, 7) D) (14, 2) E) (7, 14)

Should you not remember the slope intercept formula (y = mx + b), or any other method, you do know two things:

1) The line passes through (0,0), so that is a point on the line; and

2) The slope is 1/7, rise/run, which means from any point on the line, such as (0,0), you can count one up and seven over to the right to find another point.

Do that twice, starting from (0,0). The first point you'll "land on" is (7,1). Then again count one up and seven over from that point, and you land on (14,2).

"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."

Best AWA Template: https://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html#p470475

Re: A line in the xy-plane passes through the origin and has a slope of 1/
[#permalink]

Show Tags

20 Oct 2018, 20:10

Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
_________________