GCSE Maths - How to Find the Equation of a Straight Line (y = mx + c) #68

This video explains how to find the equation of line, in the from y = mx +c, by finding the gradient (m) and y intercept (c).
This video is suitable for maths courses around the world.
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[@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

[@secretsecret2486]

A four minute, 27 second video..... taught me what we've been learning for weeks.....and I have an exam tomorrow...thank you! thank you so much! 😄

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4 Min 28 sec actually

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honestly more understandable than what I learnt in class 😅

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I'm still lost

[@user-dp2tr9ye9c]

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[@user-ez9gy7fi2y]

Same

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Tq it took us a week to learn this but I learnt it in under 5 mins. I have an important final year exam next month

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[@Cognitoedu]

That's incredible dvrina, so glad we could help you reach those higher classes! Best of luck in maths 🤞

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[@Cognitoedu]

Really glad it could help!

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[@Cognitoedu]

Thanks Shanjida, glad they're helping 😊

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[@Cognitoedu]

Glad we could help Lawrence 🙌

[@Anonymous-dy2is]

The best explaination so far

[@nonsindisodlamini7885]

Does it depend on how you draw the triangle when you’re working out the gradient like it could be the same number but a negative because I may have drawn the rise downward? Does it depend on how you look at it or am I making a mistake ?

[@whotfiserinnn02]

Honestly thank you so much for this I have a test coming up next week but I’ve been off with covid so when I came back and had an hour lesson today I didn’t get any of the work. Who new a 4 minute video could save my life😅

[@Cognitoedu]

Ah we're glad we could help you out Erin, hope you feel better soon 🤞

[@luvs.fxr.fg_]

I know this video has been posted two years ago but I’ve been trying to follow your video and I was wondering if you could put the triangle wherever you wanted and it would still give you the same answer? I keep putting the triangle in different places and I came out with a different answer to what you came out with and it’s really confusing. May you be able to help me?

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[@markp1988]

Oooh thanks I actually understand this

[@user-xh5dp1qq7l]

Hey Coginito nice please tell how did you calculate -9 and +3 the values of change of x and y I am having a problem with symbols

[@momigaming8598]

There's an easier way to find the gradient. Just find two random points on the line, trace where they cut the x and y axis, for example (8,6) and (-7,5) or something idk. Label them as x² y² and x¹ y¹ and put them in the equation y²-y¹/x²-x¹ And solve it and you got your gradient. Either this is correct or I'm cooked.

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[@success-gt8pi]

how can you find the change in line y and x

[@user-bg5xb6xu9n]

Thank you sir for teaching me

[@d.supeda]

Thank you so much!!!

[@zainabbashiri7085]

amazing work I ahve been learning this and have not understood it but a short video made me understand thank u😊

[@Cognitoedu]

Glad to hear that Zainab! 👍

[@tfcekiso3045]

how do you get a change in y to be -9?

[@sissi9100]

I’m wondering that as well

[@livingcatlives1619]

The -9 is the difference between +5 and -4 He started of with 5 and counted down until he got to -4 the difference was 9 and because he was subtracting its -9 Hope it helps. I'm not good at explaining stuff sorry :)

[@livingcatlives1619]

​@@sissi9100 The -9 is the difference between +5 and -4 He started of with 5 and counted down until he got to -4 the difference was 9 and because he was subtracting its -9 Hope it helps. I'm not good at explaining stuff sorry :)

[@kazimali914]

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Well, did u pass?

[@ammarumar7316]

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Thanks Ammar, glad you enjoyed them 🙌

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help me a lot thanks!

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Thanks!

[@andrewmonson9872]

thanks it did make sense

[@y2kaiii]

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[@tiasabrina9788]

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[@familykaler2177]

Thank you!

[@Naxsty]

i do not understand how you got the change in y an x from 5 to -4 and -1 and 3

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[@Cognitoedu]

Glad you think so Vladimir!

[@pull.up_bbg]

Thank you, now I won’t fail

[@kes0907]

OMG THANK YOU 😭 I WAS STRUGGLING WITH THIS AND TOMORROW IS MY MATH EXAM 🤲🤲🤲

[@Cognitoedu]

🙌 🙌

[@birigoritatu3003]

I have a question, What happens when there is no y-intercept

[@no-jm3tw]

thank you

[@hamzagamer213]

Thanks

[@BobBob-jm4bf]

1 -- x 4 Can be further simplified to x over 4, or: x -- 4

[@rasunpreetkang9242]

isnt there a mistake at 1:42 when you say 5 but your write -5, should the change in y be positive 9, not negative 9?

[@rufirizwan2542]

its just a dotted line so it looks like -5, but its actually positive 5

[@marwanmohamed8935]

what a legend

[@sarashaabantwileri3795]

Well done for your explanation but I have a question! So on the line if I pick any two points then for the value X and Y I won’t get the same value?? It just depends on the points that I pick??

[@AnotherAlt-ll1tg]

Has to be on the grid but ye

[@AceMontage]

life saver

[@user-nd8xx6io3x]

Are you sure, We can make points anywhere on the line? Because different 'Quadrant' of graph will give different answer

[@brassfish13]

Question..would be helpful if anyone answered...how do u find the gradient for a straight horizontal line

[@saaramiah7093]

The gradient of a horizontal or vertical line is always 0,0 as the gradient = change in y ÷ change in x ... and there is no change

[@idontcareu]

Here is an Indian! Soon you will have a million subscribers...

[@lioneladrianojoaquin8774]

fire channel

[@rad7762]

ay bro just label the Y and the X line and remember change in y over change in x and wherever that line is u will be fine lol and the c is jus tthe y-intercept for every graph label the X and Y line it alkwyas helps

[@m00nl1e9]

Hey man, for my different equation, I ended up getting a fraction. Is this normal, or have I got it wrong?

[@doksoo6856]

Gradients can be fractions as well!

[@spencerlamm]

Ty

[@lowandslow398]

4:00 sorry but I don't get why the the other point has to specifically go to 4 in the x axis can someone plz explain

[@surullop7122]

To go up one square

[@surullop7122]

He found where it has gone up one square and it was just under four the point didn't specifically go to four

[@Andy-ez7mb]

Do you have to go from left to right?

[@zedbelike780]

Yes if the slope is positive (/ or if it rises from left to right but if negative (\) then right to left)

[@MennaRashed-tu6hj]

Can some one explain how did he got -9

[@livingcatlives1619]

The -9 is the difference between +5 and -4 He started of with 5 and counted down until he got to -4 the difference was 9 and because he was subtracting its -9 Hope it helps. I'm not good at explaining stuff sorry :)

[@ora6376]

@@livingcatlives1619thanks

[@mrjed6912]

What about straight line questions which ONLY give you this 3x -5y = 12 Because that is what’s on my exam

[@juicetinonion9570]

You make y the subject of the formula

[@CantThinkOfAHandleRANDOMNUMBER]

I have this for homework and I’m year 8

[@muhannedaljammal4922]

pov: its 1am, 10hours before ur exam and ur binge watching 15 vids about 15 diff topics

[@sqmt5721]

when picking a point can it be anywhere?

[@kAte-ot2ic]

When placing point, make sure the point u mark touches a grid square corner. Look in the video and see where the points are at if u don’t get Sorry I’m kinda bad at explaining

[@ALIYASMEMORIES777]

how we identify where is point 1 and 2?

[@Discover-disc0ver]

Take any point on the line as Point 1 and the other as Point 2

[@SZ3331]

I'm sorry could you explain how +5-4 is change of 9?. I mean it's stated as positive 5 but shows it as -5 in video. Am new to this.

[@catsanddog9109]

ah yes it is not 5-4 its basically the distance from 5 to -4 so like 5-x=-4 so x would be -9 because it has a distance of 9 numbers from 5 it goes to 4,3,2,1,0,-1,-2,-3,-4 and thats a total of 9 numbers so -9

[@sissi9100]

@@catsanddog9109does the same apple to when finding the x?

[@sissi9100]

@@catsanddog9109and how do we know from which we start from? like the top or the bottom

[@spyprism]

My head hertz.

[@ragd0ll667]

We're on the same wavelength :(

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@@ragd0ll667 Very true :*(

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YES best at math and science vids

[@Cognitoedu]

🙌 🙌

[@demimoore2345]

Thankyou! But i so have one question. So i can place the two points anywhere? But wouldnt that give you a different answer each time? Thankyou

[@penguino7158]

can someone explain why the -1 and 2 makes 3 plz

[@TertiaryQuota]

Probably because to get from - 1 to 2 you add. Im bad at maths too tho

[@livingcatlives1619]

​@@TertiaryQuota that's how he did it

[@Rome14078]

Please be my math teacher. She is horrible. Teaches us 1 lesson of line equations in the most horrible wya possible. Then gives us 34 questions about them. If we don’t do them 2 hour detention. So thank you for helping

[@everest8133]

I don’t like you, I love you (not like love, like, idk how to explain it lol), very good explanation

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thank you so much 😭💘

[@kaigregory5213]

I have an exam at 9:55, it’s 8;00

[@Remas-uf7wu]

As a distinguished student, I’d love to say thank you for the explanation! In Iraq this subject was deleted for the last four years but we have to study it in this year, Unfortunately there’s no iraqi teacher explaining this subject very well. So thank u so much. Wish me a good luck in my finals it’ll start in may 21 and ends in june 8.

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goodluck!

[@lxverlymya3658]

can someone tell me how its -9

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bc it goes down my 9 squares from left to right

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What a guy

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If only the teacher at sch could explain like this 😭

[@sissi9100]

I don’t understand how he got -9

[@sissi9100]

I don’t understand how he got -9

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Such a skibidi video🎉

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how much to become my teacher?

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Amazing Bby

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Watching this right before my myp math exam pray for me

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