GCSE Maths - Using Ratios to Find the Coordinates of a Point On a Line #73

This video explains how to find the coordinates of a point that lies a certain ratio along a line, e.g.
"If A is (3, 4) and B is (-7, 8), and C lies somewhere on the line AB such that AC : CB is 3 : 1, what are the coordinates of C?".
We cover how to do this from a graph and just from coordinates.

This video is suitable for maths courses around the world.
KS3 - Not on your course
GCSE Foundation - All on your course
GCSE Higher - All on your course
A-level - All on your course

Maths Playlist:

GCSE Chemistry playlist:

GCSE Biology Playlist:

GCSE Physics Playlist:

[Cognitoedu]

If you’d like to practise the material covered in this video, check out our platform at www.cognitoedu.org - it's totally free, and has been built to make learning and revision as easy as possible. The main features are:
- Lessons organised by topic, only the lessons relevant to your specific exam board and tier are shown.
- Automatic progress tracking. Progress bars tell you what you’re doing well at, and what you need to spend some time on.
- Practise quizzes so you can test your knowledge. You can quiz yourself on any combination of topics you like.
- A huge number of fully-hinted questions that take you step-by-step through some of the trickiest calculations & concepts.
- A comprehensive bank of past exam papers, organised both by year, and also by topic.

Amadeus & Tom

[fshahnawaz]

Thanks to cognito i got a solid 9 in my IGCSE. Love yall

[magpiestudent]

This is exactly the type of problem I have been stuck on! Thank you so much, I will definitely be using this video for reference.

[vedantbhardwaj]

Hi @Cognito, I can really see this channel becoming You Tube’s educational hub. Can you please make a video on circle theorem’s and their proofs. Thanks.

[punithakarthik]

THANKS SO MUCH
it helped a lot
this channel is super underrated

[yenji]

your videos are always super easy to understand thanks

[localbookworm]

I never knew three people could help me so much! Thank you!

[rulaadnan]

Your videos are so helpful! will you be doing a series on alevel biology and chemistry?

[NitwitGuitarist]

Last minute revision before my GCSE in an hour here we go 💪

[Mudblood_Mione]

THANK GOD I WAS LOOKING FOR THIS SPECIFIC TOPIC I DIDNT EVEN KNOW IT EXISTED THANK U COGNITO I LOVE YOU

[julioagosto]

Great instructional video keep it up so much clarity in the explanation awesome 👏

[maryamm]

Hi, can you please tell which software are you using for this video? Thanks

[Tidababy]

please do a video on formula substitution and change of subject

[majesticmose]

thanks cognito similarity and enlargement please next .regards

[Dakahashi]

Hi there. How would you work out the midpoint if you didnt have points A and B. Instead only having the equation of the line? Thanks

[XX-uxyf]

PLS HELP! What if the missing coordinate is at the top and the given ones are in the middle? Hope that makes sense

[sadatsultan]

what if the line segment has a negitive slope?

[hoopfashiondrifting]

you beautiful man. you might aswell be eintsien. this was easier to understand than the timestable

[lalhussain]

Please teach how to use vernier calipers and micrometer

[klavn]

only had i seen this earlier, lost 7 marks for this damned question only