Equations of parallel and perpendicular lines | Analytic geometry | Geometry | Khan Academy

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  • เผยแพร่เมื่อ 5 เม.ย. 2010
  • Equations of Parallel and Perpendicular Lines
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ความคิดเห็น • 205

  • @wadhakhoory1305
    @wadhakhoory1305 5 ปีที่แล้ว +362

    Imagine your teacher scrolling through the comments and passes by your comment, were you said “You teach better than my teacher!! ” or “I understood this lesson in 9 minutes, while I struggle weeks understanding a lesson in school”

    • @temu250
      @temu250 5 ปีที่แล้ว +12

      wadha khoory your point?

    • @Patbird
      @Patbird 4 ปีที่แล้ว +15

      em oa it’s basically like an insult to the teacher, and she probably won’t like what you said/disregard you

    • @locarre
      @locarre 4 ปีที่แล้ว +14

      @@temu250 _your_ point?

    • @kingma4987
      @kingma4987 4 ปีที่แล้ว +2

      @@locarre em oa wrote that comment 10months ago.Why u all still care🤣

    • @locarre
      @locarre 4 ปีที่แล้ว +4

      @@kingma4987 bye✋

  • @james_47
    @james_47 4 ปีที่แล้ว +101

    I swear whenever you write like that, the finished product is just the most satisfying thing

    • @jypp5054
      @jypp5054 3 ปีที่แล้ว +4

      Yes that's the point of math,a bunch of things u did and it makes sense but not random numbers

  • @hierophantpurple5163
    @hierophantpurple5163 9 ปีที่แล้ว +120

    My savior in math class....

    • @warner5380
      @warner5380 3 ปีที่แล้ว +5

      it’s crazy to think you graduated by now

    • @tsenpai8549
      @tsenpai8549 2 ปีที่แล้ว

      @@warner5380 you still here or. xD

    • @warner5380
      @warner5380 2 ปีที่แล้ว +2

      @@tsenpai8549 always here homie

    • @tsenpai8549
      @tsenpai8549 2 ปีที่แล้ว

      @@warner5380 SHEESH did you graduate?

    • @warner5380
      @warner5380 2 ปีที่แล้ว

      @@tsenpai8549 nah not yet

  • @turtlegrabber1787
    @turtlegrabber1787 2 ปีที่แล้ว +37

    10 years later and this video is still helping students like me great job man we all love you

    • @AcidDaBomb
      @AcidDaBomb 2 ปีที่แล้ว +2

      I've been having issues with this, this video made my issues go away.

    • @mrcactus245
      @mrcactus245 ปีที่แล้ว +3

      how tf is this 12 time files

    • @Drangia
      @Drangia 8 หลายเดือนก่อน

      @@mrcactus245its 13 now

  • @Gambinoscuzynot
    @Gambinoscuzynot 2 ปีที่แล้ว +7

    Man, you are a lifesaver. Right now my math teacher is making everyone teach the class a chapter and i got paired up with the kid who isn't exactly the brightest lightbulb. Anyways, thanks.

  • @AnushkaManoj-to4do
    @AnushkaManoj-to4do 5 หลายเดือนก่อน +2

    This was extremely important for my math test, thank-you so much.

  • @idek2069
    @idek2069 4 ปีที่แล้ว +30

    I'm definitely not cut out for school with my attention span of 2 seconds and a brain that could be bested by a toddlers :/

  • @khanacademy
    @khanacademy  14 ปีที่แล้ว +11

    @SASMOUNTAINTROOPER did that on purpose to show that it doesn't matter as long as you keep the same order for the x's and the y's

  • @imranibrahimi667
    @imranibrahimi667 3 ปีที่แล้ว +8

    When ur teaches right assigns this cuz she on a vacation but the whole world is kn lockdown :/

  • @fearthearchitect8930
    @fearthearchitect8930 3 ปีที่แล้ว +8

    Thank you SO much, my math teacher hardly explains anything properly.

  • @atlasemerson4904
    @atlasemerson4904 5 ปีที่แล้ว +9

    Dont forget to add that of the two lines are parallel, then make sure the y intercepts are not the same. Because if the have the same slope and y intercept, they are the same number and not parallel

  • @dogeoverpowered
    @dogeoverpowered 9 หลายเดือนก่อน +1

    This video will forever stay in my head my teacher always showed this to us every year so thankyou ig 😭 🤙

  • @malineypohs7181
    @malineypohs7181 12 ปีที่แล้ว +1

    Helps me a lot!!! Thanks

  • @arrowpaw1847
    @arrowpaw1847 ปีที่แล้ว +1

    Thank you so much my teacher I swear didn't explain it ever and we have a test on it today

  • @hyperthreaded
    @hyperthreaded 14 ปีที่แล้ว +7

    Very good lessons. Found them via today's Slashdot article about Bill Gates' kids :P You could've explicitly shown at some point that m2=-1/m1 are indeed inverses of *each other*, i.e. that, in fact, m2=-1/m1 is a "cyclic" relation, so with m2=-1/m1, m1=-1/m2 is also true.
    (or maybe you did that already in previous lessons, or left it as an exercise to the listener)

  • @danahaham
    @danahaham 9 ปีที่แล้ว +1

    U are the best teacher ever!!

  • @bonzosmontreux8307
    @bonzosmontreux8307 5 ปีที่แล้ว +2

    This made me not so anxious about school. Thank you.

  • @danascully6981
    @danascully6981 9 ปีที่แล้ว +67

    Isn't it suppose to be y2-y1? It looks like you're doing y1-y2. You have me confuse on this.

    • @MrCleven509
      @MrCleven509 9 ปีที่แล้ว +3

      ***** it is not the same thing

    • @QuesadillaGaming
      @QuesadillaGaming 9 ปีที่แล้ว +1

      You are correct

    • @rachelzhu3077
      @rachelzhu3077 9 ปีที่แล้ว +16

      Dana Scully it's the same if you do y1-y2 over x1-x2. He explains it in another video, I think

    • @malikgray6615
      @malikgray6615 6 ปีที่แล้ว

      +Rachel Zhu are you Chinese

    • @sadwdasdwa5593
      @sadwdasdwa5593 5 ปีที่แล้ว +6

      @@rachelzhu3077 Its not the same, I tried it on the second example, the pair (0, -3)(-2,5) ended up with -1/5 instead of -4.

  • @pyramixmaster7905
    @pyramixmaster7905 7 ปีที่แล้ว +6

    Thanks now I will pass my test

  • @sarahcollins4182
    @sarahcollins4182 10 ปีที่แล้ว +7

    You're like my god right now because you are literally helping me get through math 10. Thank you!

    • @karishmadesai1426
      @karishmadesai1426 5 ปีที่แล้ว +10

      And now you've graduated. Congratulations!

  • @bunnyfun9264
    @bunnyfun9264 2 ปีที่แล้ว

    im in 7th grade and i have to learn algebra and we go over these thing in like one day and each day is a new lesson and then there's a test, but i am very confuzzled even tho i kind of understand, thanks a lot i understand now

  • @user-pb1gj7hi9h
    @user-pb1gj7hi9h 3 ปีที่แล้ว +6

    I always forget how to solve the last question then I repeat the video again😂😂

  • @HokuKatsu
    @HokuKatsu ปีที่แล้ว

    this helped me more than my 8th grade math teacher

  • @caidenniemi9445
    @caidenniemi9445 2 ปีที่แล้ว +1

    I like how sense is made here

  • @RiyaSingh-rb6ch
    @RiyaSingh-rb6ch 3 ปีที่แล้ว +2

    Why do teachers over complicate things when this is what I could be doing, I knew i was smart all along

  • @squaredcash3311
    @squaredcash3311 7 ปีที่แล้ว

    Thanks!

  • @Laughbankrip
    @Laughbankrip 11 ปีที่แล้ว

    doing a level maths thanks khan

  • @avischiffmann6220
    @avischiffmann6220 5 ปีที่แล้ว

    thank you lord khan

  • @pasindudanthanarayana8828
    @pasindudanthanarayana8828 3 ปีที่แล้ว

    Thank you so much!

  • @Leo-gv2zx
    @Leo-gv2zx 2 ปีที่แล้ว +1

    Thank you kind sir

  • @babylonaliking
    @babylonaliking 7 ปีที่แล้ว

    thank you very much

  • @jokypants1
    @jokypants1 11 ปีที่แล้ว

    same slope! gotchya.

  • @crazytaxi2595
    @crazytaxi2595 5 ปีที่แล้ว +3

    thank you bro...you help alot to save my time❤

  • @maresachan2909
    @maresachan2909 3 ปีที่แล้ว +3

    TRULY AMAZING AND HELPFUL THANK YOU DUDE :)

  • @wooowoakkdmdj
    @wooowoakkdmdj 7 หลายเดือนก่อน

    for the end of the last question, there was a way easier way which is substituting the y with 8 and x with 2, its less complicated

  • @Tony-xm4cc
    @Tony-xm4cc 9 ปีที่แล้ว +6

    How do u make it so easy

  • @SuperEmoFatBoy
    @SuperEmoFatBoy 10 ปีที่แล้ว

    Omg you helped me soo much. Thank you!

  • @johnluke4520
    @johnluke4520 2 ปีที่แล้ว +1

    Perpendicular learning

  • @nubla11
    @nubla11 2 ปีที่แล้ว

    ONE REQUEST everything is perfectly perfect the thing is kindly go little quick nvm?:)

  • @sabyasachiadhikary3018
    @sabyasachiadhikary3018 4 ปีที่แล้ว

    #WOW...DONE

  • @retrozhaan9136
    @retrozhaan9136 5 ปีที่แล้ว +1

    Sir can u please solve this:
    If MC a line is the perpendicular bisector of AB also a line which
    Has coordinates A=(0,4), B=(10,8) and C=(k,1). And I already found M which is the midpoint of AB and that is (5,6).
    Thus find k.

  • @ashwinispatil3851
    @ashwinispatil3851 6 ปีที่แล้ว +2

    Tq sir it's very helpful me... And I have one problem the above problem having two Co ordinates.. But I confused on if these r three coordinate like A(1,1,1) and B(2,3) and c(3,5.-2) D(-1,1) how can I find out slopes....

    • @captcreeper1015
      @captcreeper1015 3 ปีที่แล้ว

      Oh your probably dealing with 3D graphs with the Z coordinate

  • @jokypants1
    @jokypants1 11 ปีที่แล้ว

    nine teeeee dagreez! gotchya

  • @schoolnow8899
    @schoolnow8899 ปีที่แล้ว +1

    I'm confused on how you got 6/9 to 2/3

  • @zamangunimncwabe8498
    @zamangunimncwabe8498 2 ปีที่แล้ว +1

    Thanks😭😜

  • @bostonsteven46
    @bostonsteven46 13 ปีที่แล้ว

    How would you prove parallel lines y intercept ?

  • @moniabboud9930
    @moniabboud9930 7 ปีที่แล้ว +1

    you can do better...!!! but good job its amazing plz make a lesson about slope_intercept form!!!

  • @mariamalwia3324
    @mariamalwia3324 4 ปีที่แล้ว +1

    thank you for your teach we all really like it you are so helpful:)

  • @Shivshankar_JEE-ov5wx
    @Shivshankar_JEE-ov5wx 3 ปีที่แล้ว +1

    Great Explanation and elaboration 🤩

  • @nawaryn8807
    @nawaryn8807 2 ปีที่แล้ว

    Its so hard to think all the people who watched this video many years ago are graduated and I’m seeing it now

  • @Nathanielrig78
    @Nathanielrig78 ปีที่แล้ว

    In the first problem u didn’t follow the slope formula but u did in the second just wondering why u changed

  • @aminetalibi3196
    @aminetalibi3196 9 ปีที่แล้ว

    well nice not bad

  • @Symura60
    @Symura60 3 ปีที่แล้ว

    What would I do if I would have to find the slope and parallel line of x = -5??

  • @Zohirul-Jewel
    @Zohirul-Jewel 8 ปีที่แล้ว +1

    2:58 for the second line can you pick any point to find the intercept?

  • @scootergoons3371
    @scootergoons3371 4 ปีที่แล้ว

    very nouice make me haappyyyy

  • @motionxd5984
    @motionxd5984 4 ปีที่แล้ว +1

    Last!

  • @KornyKornzz
    @KornyKornzz ปีที่แล้ว

    If switching up the order of y, will the answer change the when identifying the slope? I know its to find the absolute value. Just threw me off when he changed the order of y. (absolute value of a number is never negative).

  • @straps-of-skin
    @straps-of-skin 8 ปีที่แล้ว +3

    i liked the other green

  • @sarahoswald16
    @sarahoswald16 4 ปีที่แล้ว +1

    what if i have 2 points and one end point and i have to find the other point. I'm a struggling geometry student help.....

  • @bradydavis1867
    @bradydavis1867 3 ปีที่แล้ว

    I can’t believe I’m the only one commenting on how he says add 8 to both side’s rewrote the equation with 8 only added to one side and says problem solved and ends the video. “Help me plz”

  • @whyamihere7576
    @whyamihere7576 4 ปีที่แล้ว

    does it matter whether you put one of the Y(s) before the other when minusing

    • @pr0fzach52
      @pr0fzach52 4 ปีที่แล้ว

      Not necessarily but in some it does, but for the most part if you use Y1-Y2 or the opposite Y2-Y1 it won't matter

  • @jmac0902
    @jmac0902 12 ปีที่แล้ว +1

    are you going y1-y2 over x1-x2 or am i just hearing things

  • @stilleatm4512
    @stilleatm4512 4 ปีที่แล้ว

    How you can solve in perpendicular if one number is missing in one coordinates.

  • @haley4647
    @haley4647 4 ปีที่แล้ว

    When finding the slope does it matter which set of parentheses you use as (x1,y1) and (x2,y2)?

    • @samkillboss
      @samkillboss 4 ปีที่แล้ว

      it can be y1-y2 over x1-x2 or y2-y1 over x2-x1 it doesn’t matter

    • @haley4647
      @haley4647 4 ปีที่แล้ว

      Sam Villa thanks

  • @drithehilarious9856
    @drithehilarious9856 ปีที่แล้ว

    My teacher don’t communicate so I have to watch videos.

  • @sakinagorish4125
    @sakinagorish4125 11 ปีที่แล้ว +2

    isnt it suppose to be (y2-y1)/(x2-x1)?

    • @connormackay7371
      @connormackay7371 6 ปีที่แล้ว

      doesn't matter how you do it

    • @noggins7987
      @noggins7987 4 ปีที่แล้ว

      @SUGAkemi Chu same outcome

  • @VerryLongName
    @VerryLongName 9 ปีที่แล้ว +7

    he uploaded this on my 15'th birthday!

    • @GAMERKIDCHANNEL
      @GAMERKIDCHANNEL 9 ปีที่แล้ว +6

      STFU

    • @VerryLongName
      @VerryLongName 9 ปีที่แล้ว +6

      GAMERKIDCHANNEL :(

    • @GAMERKIDCHANNEL
      @GAMERKIDCHANNEL 9 ปีที่แล้ว

      VerryLongName no I didn't bitch

    • @JoeyCadillacs
      @JoeyCadillacs 8 ปีที่แล้ว +11

      +GAMERKIDCHANNEL
      lol...
      We're trying to pass classes kid...
      go back to watching PewDiePie

    • @poppyella2205
      @poppyella2205 7 ปีที่แล้ว +2

      kids fight like sissies on a maths video: an epic tale

  • @tonyzhang197
    @tonyzhang197 ปีที่แล้ว

    Sal is op

  • @prkr4823
    @prkr4823 3 ปีที่แล้ว

    hi people in mr davis geometry :)

  • @SHWAPAH
    @SHWAPAH 12 ปีที่แล้ว

    No dislikes! Woo!

  • @ahmedsarker3555
    @ahmedsarker3555 3 ปีที่แล้ว

    shouldnt it be the opposite way round in 2:50 because y2-y1 divided by x2 - x1 would equal the gradient

    • @khattakjarir3399
      @khattakjarir3399 3 ปีที่แล้ว

      It doesnt matter as long as you do them in the same order, youre going go get the same gradient. you can do y1-y2/x1-x2 but not y2-y1/x1-x2

  • @simpalert
    @simpalert 4 ปีที่แล้ว

    I still don't really understand. Also, what program do you use?

  • @kingmathew5514
    @kingmathew5514 10 ปีที่แล้ว +9

    Newest comment(|:

    • @troy2787
      @troy2787 4 ปีที่แล้ว +1

      King Mathew not anymore buddy

    • @Rexus_34_SF
      @Rexus_34_SF 4 ปีที่แล้ว

      I'm newest now

    • @troy2787
      @troy2787 4 ปีที่แล้ว +1

      Emre John Nebioglu nah

    • @ofcsashwatcansing
      @ofcsashwatcansing 3 ปีที่แล้ว

      It's 6 years ago

  • @kevinpaulnavero3452
    @kevinpaulnavero3452 9 ปีที่แล้ว

    I got a rhombus and I should find the equation of one side. 3 remaining sides' equations are given. Please help me.

  • @jmac0902
    @jmac0902 12 ปีที่แล้ว

    can you help me out with a problem like this; Write the slope-intercept form of an equation for the line that passes through (-8, -1) and is parallel to the graph of y=-5/8x+2
    PLEASE HELP

  • @summerthesavage398
    @summerthesavage398 5 ปีที่แล้ว

    how to solve if the equation is y=x=1 y=x+5 ??

    • @veerchopra8478
      @veerchopra8478 3 ปีที่แล้ว +1

      They are parallel line because the slope is the same in both lines: 1

  • @DustAnimosus
    @DustAnimosus ปีที่แล้ว

    Will these videos ever become outdated?

  • @ninoangelobacayo67
    @ninoangelobacayo67 8 ปีที่แล้ว +2

    hey I'm confused. change of x and y is (y2-y1) ,(x2-x1) but why are you using (y1-y2) ,(x1-x2) . enlighten me.

    • @reeseelizabeth2889
      @reeseelizabeth2889 8 ปีที่แล้ว +4

      +Angelo Bacayo both ways work! you get the same exact answer either way you use it (:

    • @loganbmoy
      @loganbmoy 7 ปีที่แล้ว

      Angelo Bacayo no ur wrong u take the absolute value

    • @sadwdasdwa5593
      @sadwdasdwa5593 5 ปีที่แล้ว

      @@reeseelizabeth2889 No you do not.

    • @khattakjarir3399
      @khattakjarir3399 3 ปีที่แล้ว

      @@sadwdasdwa5593 Yes you do

    • @dev2303
      @dev2303 ปีที่แล้ว

      @@khattakjarir3399 one gives negative and the other is postive.

  • @ayymsasa
    @ayymsasa 4 ปีที่แล้ว +1

    Last

  • @thatboynas2308
    @thatboynas2308 7 ปีที่แล้ว +1

    Thanks! But one the first one, why did you do y1-y2 and x1-x2 instead of y2-y1 and x2-x1?

    • @loganbmoy
      @loganbmoy 7 ปีที่แล้ว +2

      ShadowDemonOffical time it is the same thing but u take the absolute value

    • @thatboynas2308
      @thatboynas2308 7 ปีที่แล้ว +1

      Logan Moy oh okay thanks bro

  • @mikomiko2611
    @mikomiko2611 ปีที่แล้ว

    the slope formula is wrong its y2 - y1 divide by x2-x1

  • @johnnyrojas9603
    @johnnyrojas9603 5 ปีที่แล้ว

    It helps me so much.Best video ever.Thank you so much!!!

  • @armanmanarbek
    @armanmanarbek ปีที่แล้ว

    wait a minute, he says 4- - 8 but in the formula its x2 - x1 (in the first example)

    • @armanmanarbek
      @armanmanarbek ปีที่แล้ว

      I mean points -8 and 0 is second and 4 -3 is first
      so why he did the oppiste?

  • @itsjustaldo7954
    @itsjustaldo7954 6 ปีที่แล้ว

    Leeeeel

  • @mickeyminnie1213
    @mickeyminnie1213 13 ปีที่แล้ว +3

    i must be the stupidest person alive becuase i didn't get it

  • @jmac0902
    @jmac0902 12 ปีที่แล้ว

    i did the opposite of what you did in the third problem and i got the answer -2/-3 for the first slope , is that ok

    • @user-rs6lh6lp3b
      @user-rs6lh6lp3b 7 ปีที่แล้ว

      Provisidiya no. It would be positive

  • @susellar7925
    @susellar7925 2 ปีที่แล้ว

    Lost me at 5:50 :').. You did Y - Y2.. Isn't it supposed to be the other way round... Y2 - Y🤔

  • @mobexperts5430
    @mobexperts5430 6 ปีที่แล้ว

    -3-0=??

  • @classyunicorn9986
    @classyunicorn9986 9 ปีที่แล้ว

    What application is he using?

  • @uraaxeecaqligaaga4890
    @uraaxeecaqligaaga4890 5 ปีที่แล้ว +1

    Isn't it y2-y1/x2-x1?. Plz explain I'm confused

  • @aileensun4786
    @aileensun4786 9 หลายเดือนก่อน

    grr i h8 math

  • @mariajordan5520
    @mariajordan5520 6 ปีที่แล้ว

    How might one write the equations in y-intercept form and standard form? Lmfao I have an exam in 40 minutes

  • @davidcaro766
    @davidcaro766 8 ปีที่แล้ว

    First

  • @MDA3
    @MDA3 4 ปีที่แล้ว

    I am has ununderstopndment help I

  • @ismailsarkar8988
    @ismailsarkar8988 7 ปีที่แล้ว

    is this alevel or GCSE??
    what level is this

  • @sydney3495
    @sydney3495 3 ปีที่แล้ว

    k but this is over 10 YEARS old....

  • @candyqueen3996
    @candyqueen3996 3 ปีที่แล้ว

    you confuse me cause i dont know which way to start

  • @fuzzfizz6327
    @fuzzfizz6327 3 ปีที่แล้ว

    Umm am I the only one confused? Does it looks as though he's doing y1-y2?

    • @khattakjarir3399
      @khattakjarir3399 3 ปีที่แล้ว

      doesnt matter as long as you do them in the same order, youre going go get the same gradient. you can do y1-y2/x1-x2 but not y2-y1/x1-x2

  • @johncolinares4026
    @johncolinares4026 ปีที่แล้ว

    Y2-Y1÷X2-X1 u didn't follow the formula

  • @killerheli1601
    @killerheli1601 3 ปีที่แล้ว

    aligato osayimas sensei. 🐱‍👤