Two-variable linear equations and their graphs | Algebra I | Khan Academy

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Introduction to 2-variable linear equations and their graphs
Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
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[@jackhrovat4172]

My teacher explained this in class and I literally was lost but this video saved me. Thank you Sal Khan you are a miracle to this madness

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Time goes so fast when you're trying to figure out how to do your homework😭

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How do you know 😭😭

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I feel that

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ONG IT DOES 😂

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Thats what math is

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Ikr

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am I the only one who wonders how he writes perfectly with his mouse

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i was wondering that to it probably a smart pad though that has a pen probably the reason why its so neat

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He probably has a drawing tablet he just uses it for teaching instead lmao

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There is a thing known as specktron check it out

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he is using drawing/wacom tablet

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He turned up the stability

[@Wilfred921]

You have a very nice voice, and your instructions are clear! You sound like the smartass brother I never had.

[@TheWheelchairGuy]

Thank you Sal. My teacher explained this in 3 hours and I didn't get it, but you explained in less that 9 minutes and I got the whole idea. You're the best

[@thomasjohnsoniibuitizon6973]

+Mo bahjat i agree, i don't know why i don't understand a single thing to my prof said when she's discussing, but i do understand them when i watched how it works in youtube

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+Silent Walker some teachers don't make sense at all

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Mo Bahjat true

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my teacher talks way to fast doesnt do it more then once so im stuck in summer school cause she doesnt know how to teach i watch this and it make like 200 times more scene then my teacher just said thats just sad

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Who’s here because of finals

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Mid terms

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Nico my channel same

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Have a test on this today along with my premed test

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came here for the reports (grade 8)

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Im here because of mid terms

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18,000 people and no one has said "first" yet. Wow.

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Lol

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+hiplegend214 scroll down too the first comment.

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first!

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that's so 3 years ago

[@raphaellelamisericorde4749]

69th like.

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Does anybody think there ADD/ADHD affected their attention? Because everytime I was thought something (atleast algebraic), i went to space quicker then the flash.

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it does

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Bruh ADD stands for attention deficit disorder.

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i was learning this in school and this is so easy now, thanks khan academy!!!

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my teacher just told my class to watch this video and i'm glad she said that cuz now everything makes so much sense thank you:D

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Not gonna lie this section of algebra and geometry is like, super fun to learn and is interesting

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@Stellar Not true, it hurts :/ lol

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You can have it. Its torture to me.

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Oop

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This guy always teaches us step by step thanks man

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Thank you Mr. Khan! You are the best!!!👌👏😃

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This video really helped me thank you!

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Am i the only one who found his voice soundlike corpse husband's in 2017? Okay I'm gonna focus now on the lesson

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me too it sounds like corpse lol

[@tturi2]

this was so helpful, I forgot how to solve ax-by=c, but you saved me, I tried treating it like a quadratic and factorising but it wouldn't work, it didn't fit into y=mx+c so my head started overheating lol

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Why does This sound like magic to me

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It is indeed magus dear

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very helpful, thank you !

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Thanks for this video

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I understood this perfectly in just the first example

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okay I had no idea what these lessons mean when I was reading it but now I did because of this guy thank you

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You are the main Khan today!!

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it really helped

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Help alot thank

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3 minutes in and I've learned more in my whole chapter dedicated to this. wow. amazing teaching, thank you Khan Academy.

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IKR omg i need to stop i have a test

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Am i the only who thinks he has an amazing voice ?

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Thank you!

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thankz man!!!! i got it

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In my auto play: It's a twentyonepilots crack video what is my life

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I love Khan academy other educational apps or channels are waste

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which software is he using

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Very helpful

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Thanks a lot, I was really struggling with my homework! You deserve a like!

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yeah sal is the best

[@jhonangellineri7945]

though may we have variables raised to a negative power? for an instance 3^-8?

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Thanks You help me with cyber math 90

[@lizr6099]

For the first equation, it looks like the slope would be 2/1. Does this mean that at each point on the pink line, we should count up 2 and over 1?

[@tturi2]

yeah, rise over run

[@n_hehe5739]

I wish i watched this before the test

[@jamesjohnston1481]

thank you

[@johnellisonarmadilloconstr7966]

How do you know that’s a negative 3 and not minus 3? And what would be in between 4x and 3y if it were a positive number?

[@dhankness]

I understood it now

[@jaysondemarco]

wish you wrote the word down but thanks its good

[@ramildelegario9739]

Thaks shering vedeo

[@avlmaster1044]

Can someone help becaus ein my book it says the instruction is graph the linear equations in two variables waht will i do will i make a graph or i will sove it?

[@aha4850]

I need tp know how he got numbers for x and y,pls help

[@dirtapple8608]

Awesome! I'm now 3 grade levels past what I'm learning!

[@diyajaura8286]

NERD

[@ziemayet]

I had a problem with how in heck the equation transferred to a graph coz my teacher didn't explain well enough that I should just randomize "x" and use IT on the actual equation to get "y" on the table . I was instead using substitution and elimination methods whilst never getting my answer

[@imnotyuan3141]

At 5:00, what if they can’t be divided?

[@thejeshwarib5038]

thanks a lot!!!!!!!!!!!!!!!!!!!!

[@kenziethefangirl4838]

How come the guy on KZbin explain this better than my textbook ._.

[@reychellevargas4251]

Where did -1/2 came from?

[@adriandelcampo1312]

1:29 BIG SHAQ QUICK MAFS

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Adrian del Campo *MATH INTENSIFIES*

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Are you a true Asian.

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Adrian del Campo hahahah

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boi

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random question, what microphone do you use?

[@kevinduliesco5468]

I was confused in a lesson with dots and simple equations and till now I'm still confused

[@fookinlookup5343]

2x2 is 4-1=3 khan math

[@xanderia9850]

...am I the only one on the floor dying? K.

[@Usanemc]

2x2 is 4 - 1 is 3 khan maths :D

[@breanagramegna4498]

so since the lines intercept it would be no solution?

[@Planktonbrained]

You’re a life saver my guy

[@zahrahasnawi1123]

How do you do equations like y=3 and x=4

[@lesethoysouthh]

9 standard is hard...and It's the best explanation video I've ever seen After 14 days my exams are coming n this guy is making my days easier Thank you Love from india ._.

[@JBRLETSLEARN]

Sir geometrically soon of linear eqn with one variable is a point then why we call it linear eqn

[@queenalex6946]

am i the only who thinks you sound like Joe from Family Guy

[@redactedallvegemight8415]

yes

[@ianmahawan141]

Pretty much

[@younggodicarus]

Sounds nothing like him

[@chikatakami745]

Can X and Y be Blank? Or you need to put your own number?

[@duckguy1984]

how do you make a salary scheme with this method?

[@juniormartinez7607]

thank you so much! you really helped me understand thank you.

[@AyaanAhmed12]

Why do the solution of a linear equation in two variable lie in the same line?

[@night23412]

Ayaan Ahmed do you mean why its point of intersection?

[@shreepadbhat8406]

i think that’s why they are called “ linear “ equations but i still don’t know the reason

[@AyaanAhmed12]

I've studied straight lines n now I think, this has to do with slope and y=mx+b

[@taeminkookie6710]

How about y>x+2.?

[@StrvberryM0on]

But what if y doesn’t equal a whole number, like it equals 4.5 or something

[@MelbertjrLUZON]

You can still graph it. But if it doesn't intersect the line, then the solution is wrong

[@elle2337]

aaaaaa thankyousmmm

[@mdnisar2107]

nice and have a nice day

[@angelkimtv4061]

how do you do pair of equations like this 3x+y=5 and 2x+y=9??

[@jasmin4399]

Pokemon TV TV those equations aren’t linear equations, they are called standard equations. Watch one of their videos to see how to transform one to a Slope. Let me show you what it looks like Standard form is ax+by=c Slope form is y=mx+b

[@irshadgoury7223]

vary simple

[@AlexHorolsky]

Why the last exp, 5/x+y=10, is not a linear equation?))

[@ryzennicolee.siguenza917]

How did the second graph 3,0 happen???

[@peejayb7458]

I have a question, when do we actually apply this ?

[@gojosatoru__]

in that test yea

[@xenecro__4453]

ha ha ha these MAY come in handy in the future, probably not but they MAY thats why they torture us with these assignments

[@aphrodite21gaming17]

My teacher asked us to watch this not knowing that I can't understand math clearly

[@cosmosms_]

he sounds like ranboo wtff 😭😭💜💜

[@depressodaliato6672]

From where are you getting random numbers man, i got so confused when u were having x and y in two sections

[@present8409]

Thank you Mr. Khan! I got it...

[@hannahuy5220]

What if theirs mixed numbers tho?

[@juliannapacheco5199]

I still dont get how u did the 4x - 3y = 12

[@juliannapacheco5199]

@neris dwlrma last week, the day i commented that, was midnighr and i didnt sleep at all just to study for the finals/exam/qa but in the end, i was at a mental block. I probably failed the test sighhh

[@adonisadamn1]

4x minus 3y equals.to 12 WE only need to find.the value.of y so like if the value of x is 0, 4(0) minus 3 y equals to 12 0-3y=12 so what is the value.of y that.satisfy that? -4 can.satisfy that. equation.because we.need it to.be.the value.of.12 so -3(-4)=12 so its gonna be 12=12

[@JesterChat81]

@@adonisadamn1 This makes no sense.

[@tiantian9434]

Sir, can we prove that it is linear, or do we hypothesize it is linear? We can't verify every dot, can we?

[@pixellino5009]

07:17

[@AdrianMartinez-yk5dd]

but how do you do equations that look like 2x+8y=-64

[@salsYThandle]

solve the equation and the final answer will be 8y= 64-2x

[@hassanabdul-kareem1882]

don't forget to simplify it. 4y=32-1x -> y= (32-1x)/4

[@Cheddar101]

i registered late for a class and started in the middle of a unit im complety lost I hope this helps

[@WesternRS]

why on the computer .

[@martingo375]

how did he get 'x'?

[@jonminchala7368]

I still don’t get it bro I need help

[@piglin469]

PIGLIN APPROVED

[@randyperiodica3054]

Can you raise your voice just a little bit please

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he's voice sounds like zhongli's eng va 😆

[@asianxhispanic]

it only took 1 minute and 48 seconds to understand

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same😂😂

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101th!!!!!

[@ajkyot8727]

Hey where did x come from pls. Answer ASAP

[@kitty-et3sd]

April Joy Quisto i think you can choose any number for x

[@joshthio00]

x is a variable, so it is unknown.

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@@joshthio00 When you answer to him 6 months ago 😂

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Guyss!!!

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POV you're stressed out and you search for sumthin because fck

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we are gonna generate a _Line_

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