Coordinate Geometry: YOU Must Know These Essentials - GRE / GMAT Quant with Official Guide Questions
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- เผยแพร่เมื่อ 9 ก.พ. 2025
- Update: I am not available for tutoring! But still alive, :) Meanwhile, so many students have personally recommended Target Test Prep for GRE / GMAT that I asked them for a unique discount code, TestedTutor10, for this link: targettestprep... This video will cover five of the most essential coordinate geometry topics that come up in the GRE and GMAT, from Quadrants and slopes, to x-intercepts and perpendicular lines, this video has so much for you - whether you are just starting with this topic or consider yourself quite adept.
I offer private GRE / GMAT tutoring online at a fixed rate of $140/hr. Please get in touch via the email below, or through my tutoring website: www.gretutorlo...
Enquiries: philip@gretutorlondon.com
First, I start off easy and show how Quadrants I - IV go anticlockwise from top right.
Then I show the y-axis, x-axis and origin.
I will then cover how to use the famous y = mx + b (or sometimes called y = mx + c) equation.
Then I will discuss how the slope = m = rise/run = y2 - y1/x2 - x1
And how the y-intercept = b = where the line crosses the vertical axis.
We will find the equation of a line: y = 3/4x - 3/2
You might also see this written as 4y - 3x + 6 = 0
This is called the ax + by + c = 0 version of the line.
The x-intercept = where line crosses x axis = when y is 0
Parallel and perpendicular lines: If the slopes are the same, the lines are parallel. If the slopes are the negative reciprocal of one another, then they are perpendicular slopes.
Which of the following lines are either parallel OR perpendicular to the line 4y - 3x + 6 = 0?
Tick all that apply.
y = 4/3x + 5
y = -4/3x + 6 (perp)
4y + 5 = 3x (parallel)
4x + 3y + 4 = 0 (perp)
4x - 3y + 5 = 0
Finally, I put this together in a question with multiple parts to test your knowledge.
Image Credit to mathguide.com
GRE and GMAT are two of most used graduate exams for those seeking to study a Masters Degree or Masters in Business Administration (MBA) degree. The Graduate Record Exam and Graduate Management Admissions Test have been taken for over 50 years and are taken by approximately 600,000 and 300,000 people worldwide annually, respectively. These exams are typically taken between the ages of 18-40, by those who have completed, or are about to complete, their Bachelors Degree.
I offer private GRE / GMAT tutoring online at a fixed rate of $140/hr. Please get in touch via the email below, or through my tutoring website: www.gretutorlo...
Enquiries: philip@gretutorlondon.com If you’re now ready to get into your dream MBA program, my former student, Angel, is offering virtual private Admissions coaching. She was admitted into Harvard Business School, The Wharton School of Business, and Columbia Business School (accepted into every school she interviewed for) after graduating from UCLA with a degree in Communication. She also got 3 perfect scores on the GRE’s Analytical Writing Assessment (99th percentile).
Here is her link - linktr.ee/ange... - and you can reach her at angellinzhu@gmail.com with the subject line, “PHILIP SENT ME.”
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Hope it went well!
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Thanks for the virtual hug! I am glad it helped
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Thanks so much Naveen!
I always struggled with coordinate geometry. But your videos have taught me the concept properly. One of the best sources to get GRE explanation, specifically to those studying by themselves!
Thank you so much!
Glad to help!
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Thanks Liz! Do check out the rest of the geometry Week playlist
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I literally gave up and had no hopes of moving ahead with this segment until i came across your video on this. Thank you for this detailed explanation and methodology
You are a genius! My exam is very near. Only 11 days are left. I am facing difficulties to solve coordinate geometry questions. Although, they are very frequent in the exams. But this video has helped me to solve anything on coordinate geo. Hats off !!
Hope it went well!
@@TheTestedTutor it went well, I scored 165 on the quant section just following your videos. I got only one question from coordinate geometry out of 3 sections. My experimental section was quant.
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Nice, so glad to hear Debbie!
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This is the most helpful video for Coordinate geometry. Thank you 😊
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This video was very helpful. Now I actually understand slope intercept and why I would use it. I have the GRE coming up, and I am so grateful for this video!
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Thank you for simplifying these concepts of coordinate geometry
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Straight forward and clear explanation.
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Glad you like them!
Always great for learning and reviewing!
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Glad it was so helpful Arif, that's great to hear!
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Thanks man your video definetely helped me and made it easy to understand
for line equation
y-(-3) -3-1.5
-------- = ---------- = slop
x-(-2) -2-4
y+3 3
------ = ----
x+2 4
4y+12=3x+6
y= 3/4 x - 6/4
I am confused. Where did you get these values from ?
@@deepakvijayakumar7112 points (-3,-2) (1.5,4) slop of this must be equal to slop of points on the line.(concept)
Thanks for making these videos for us! You’re the best :)
Thanks so much Shibani!
I have been struggling with this topic and even after watching several other videos I just couldn't understand how to solve these questions. You have explained it so clearly and well. Thank you so much.
Means a lot, Larishka!
Excellent stuff mate!
Best tutor yet for me
Your video is great.waiting for advanced coordinate geometry
Thank you for your efforts.
Can you please make a video on cylinders, and surface areas?
This is a great video to understand coordinates. Hopefully will be ready for GMAT in November. I would like to ask if you can provide us with secrets to acing the GMAT test. Anything would be helpful :) Things that made you work through the questions faster to combat the 2 minutes timing.
This has been super helpful! Thank you :)
Amazing video, thank you Phillip! Is it possible for you to do a roots video? I do not understand roots.
I like how you teach mahn. It's almost creepy but in a good way. Thanks a bunch.
Lol
Thank you so much for another insightful lesson
Just in time for my SAT, thank you sooo much🙏
Thanks a lot Philip for another great video! Just a gentle reminder for you to make a video on inequalities and most importantly on functions! Please
Yes been working on that all day. Hopefully out tomorrow! Thank you Mansi.
@@TheTestedTutor Awesome! Looking forward to it.
@@mansib2228 Alas have too much work today to finish but tomorrow morning around 11.00 GMT is my goal.
Great video!! Thank you Philip
so concise and effective!
This is super informative. Thank you very much.
Thanks Karan
Hey Tested Tutor! Please make a video on advanced topics of co-ordinate geometry. That would be really helpful! Thanks
Thank you so much for your videos, please have you had time to make the parabolas videos?
Best Tutor, Helped alot. thank you!
Thanks Umang
Dude ur amazing... the way u explain n made it so simple to understand 👏🏼👏🏼👏🏼
Glad you think so Dipthy! :) I try
Thank you! Parallel lines have the same slope same radium and they will never meet
Thank you so much. This is well-explained and incredibily helpful.
I cannot find suitable words to thank you on these substantial efforts 🌹🌹
Many thanks
Such a great explanation! 🙏🏻
Superb great Sir👍
Thanks again. Great video.
best explaination of coordinate geometry
Thank you so much! I purchased the official GRE handbook and the math review section doesn’t explain the concepts well at all. Your videos are so helpful!
Great to hear Nicole!
Thank you. God bless.
You make these so easy ❤
Great refresher video! Thank you for posting.
Glad you enjoyed it!
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Hello Philip,
The video was very interesting and I loved it, I just have one doubt in, while finding perpendicular line equation we have to flip the slope and change the sign that I understood but my question is do we have to flip the y-intercept i.e. b also?
It’s really good! Thanks! Also, your pace is perfect 👌. I look forward to seeing more of your videos.
Really helpful Thankyou
Thanks brother. ❤️