Graphing Lines in Algebra: Understanding Slopes and Y-Intercepts

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  • Опубліковано 3 жов 2017
  • Now that we are familiar with the coordinate plane, it's time to learn more about lines, as these are the simplest things to graph. Lines have slopes, and they usually have intercepts, so lets learn what these words mean!
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КОМЕНТАРІ • 238

  • @bradzepfan
    @bradzepfan 5 років тому +197

    Wow you deserve MANY more views than that. I have been on the hunt for good math videos for my kids and i have been through HUNDREDS of them about slope, etc. Hands down this is the most clear, concise and uncluttered explanation out there. Gold medal to you!

    • @tahiyareza7827
      @tahiyareza7827 4 роки тому +1

      Can u give me a information?1.Which country are you from and in which grade slope,getting the area of a triangle,square are taught?

    • @shivanshjha938
      @shivanshjha938 3 роки тому +3

      @@tahiyareza7827
      In india, calculating area are taught in grade 7th or 8th and coordinate geometry and slope are taught in grade 9th..

    • @shivanshjha938
      @shivanshjha938 3 роки тому +1

      Actually there are two boards in india CBSE and ICSE..so i am from CBSE and i can give you info. About that
      Hope it helps🙂

    • @Pixko20
      @Pixko20 3 роки тому +1

      @@shivanshjha938 I'm in us this is hard but this man help me thank you good sir

    • @anamacias4497
      @anamacias4497 Рік тому

      agree

  • @ruthgarcia2716
    @ruthgarcia2716 3 роки тому +380

    I need to go back to school because online classes are so difficult to understand

    • @doodleink.3532
      @doodleink.3532 3 роки тому +16

      YASSS that why im here

    • @NotALotOfColonial_SpaghettiToG
      @NotALotOfColonial_SpaghettiToG 3 роки тому +9

      same here but I'm at such a weird point. in those videos where math teachers from actual in-person classes teach and have to stop to tell students to pay attention or write something down I get so angry I have to find a different video

    • @vinodkanwar1541
      @vinodkanwar1541 3 роки тому +1

      Same for me in India

    • @Talynn0725
      @Talynn0725 2 роки тому +2

      This is literally the best, most thorough yet simplified explanation I've seen on UA-cam.
      Thanks!

    • @90goatsgaming15
      @90goatsgaming15 2 роки тому

      I skip 40 days of online school and in my freshman year I’m not doing so well in math

  • @helenbirhane4699
    @helenbirhane4699 6 місяців тому +103

    Whose having exam tomorrow

    • @Just_Tg
      @Just_Tg 3 місяці тому +3

      Literally this morning

    • @itzaryan8353
      @itzaryan8353 3 місяці тому +2

      😊😊

    • @Ishani132
      @Ishani132 2 місяці тому +2

      Outdated comment😪

    • @Ishani132
      @Ishani132 2 місяці тому +1

      Isn't it obvious

    • @Raviolipollie
      @Raviolipollie 2 місяці тому +1

      @@Ishani132heyyy

  • @prplfire7918
    @prplfire7918 5 років тому +53

    Professor Dave.......... you are truly MAE (master at everything) from 1+1 to y=2x-3. You have helped me so much when I have math problems is go straight to your channel and there is always a video answering I’m question. Keep up the good work!!!!

  • @chamomile3620
    @chamomile3620 2 роки тому +8

    I completely forgot about this and now that I'm in college i need a quick review. you summed all the details i needed for understanding this one quick. YOU'RE OUR SAVIOR

  • @zak2119
    @zak2119 Рік тому +28

    You have been such a huge help! I haven’t touched math in over 10 years and find myself back in school now almost wanting to give up. Thank you so much for walking through each step on the most basic level.

  • @llasnier
    @llasnier 8 місяців тому +2

    Great visual explanation of slope! And showing a slope progress to a "no slope" and regress to a "0 slope" was awesome! I'm a high school math teacher and my students often struggle with truly understanding slope. I love this explanation and visual.

  • @annemeluch2276
    @annemeluch2276 Рік тому +7

    I cannot thank you enough for this video!!! I am very behind when it comes to math due to a number of reasons, including a few learning differences as well as I was given an honors math program growing up that was like high school in elementary and I never learned anything because I didn't even know what they were asking. I am trying to heal my relationship with math especially since I have to take a college-level one soon and this video cleared up years of confusion. I swear this sounds dramatic but I am serious thanks!

  • @lvteachme973
    @lvteachme973 5 років тому +8

    A thorough teacher! Thanks.

  • @hussienfetene6068
    @hussienfetene6068 4 роки тому +5

    Thank u prof. for ur clear explanation of X & Y intercets.

  • @vannessallen6358
    @vannessallen6358 Рік тому +3

    Professor I am so proud of you in that you are helping me shape up on my math skills: Thanks a million

  • @sudiptapathak7494
    @sudiptapathak7494 2 роки тому +2

    You just nailed it sir ❤️❤️...You made all concepts look like water ...Great job sir 🙏

  • @simikhinda7357
    @simikhinda7357 Рік тому +7

    Love this! I want to improve my algebra grade. SO much easier than my teacher.

  • @Iceshocker
    @Iceshocker 2 роки тому +2

    Excellent and so very helpful. Thank you.

  • @ScreamingLattes
    @ScreamingLattes Рік тому +7

    You’re a life saver thank you so much. I have a test tomorrow and I was stuck on a few things.

  • @sandrablackglobalelitetake1353
    @sandrablackglobalelitetake1353 5 місяців тому +1

    Presentation clear and precise without mumbo jumbo❤

  • @crimson_crimes77
    @crimson_crimes77 Рік тому +12

    im so confused 💀

  • @romantolliver5536
    @romantolliver5536 2 роки тому +1

    Thank you man you helped me a lot.

  • @rahafkwider7468
    @rahafkwider7468 3 роки тому +1

    Thank you so much i was very confused!!

  • @user-wd1on4uq7m
    @user-wd1on4uq7m 7 місяців тому

    I learnt WAAY more from this almost 7 minute video than my actual math class thank you!

  • @seanjones7474
    @seanjones7474 7 місяців тому

    Great Vid Prof. Dave...this will definitely help get me through DAT565 in grad school.

  • @nhelfrenila9794
    @nhelfrenila9794 3 роки тому +38

    whyyy i cant understanddd i want to finish my workkk!!!

  • @ibrahimhamani5249
    @ibrahimhamani5249 4 роки тому +1

    Thank u now i understand the y intercept

  • @bradleyhoffar4825
    @bradleyhoffar4825 5 місяців тому +1

    Youre better Than Khan or any other Math website, thanks.

  • @aspectplayzz9486
    @aspectplayzz9486 2 роки тому +1

    Professor Dave? More like my Savior in Math Dave.

  • @abdullahalnuman6389
    @abdullahalnuman6389 6 місяців тому

    Thank you, Professor 😊😊😊

  • @setonix9151
    @setonix9151 2 роки тому +1

    thank you so much professor jesus

  • @elianaong6501
    @elianaong6501 2 роки тому

    thank u so much! i missed 1 class of math and i have no idea what anything was and tomorrow is my test. thank u:)

  • @FullassDear
    @FullassDear 2 роки тому +3

    Thanks, Dave! Finally have a chance to grasp math. My teachers in school were like - uhm, see me doing this. Why we do this?? Well, just remember, it's math. Student's book was the same.

  • @Alyssa_The_Weird0
    @Alyssa_The_Weird0 2 роки тому

    Thank you so so much! I was working on my homework but I forgot how to do the math. Thank you again

  • @erazor5386
    @erazor5386 2 роки тому +2

    Took some time but understood it❤️

  • @shibaramen56
    @shibaramen56 2 роки тому +3

    collab with Math Antics if necessary cuz why not

  • @lemon-vy3mj
    @lemon-vy3mj 3 роки тому +8

    OMG I TOOK A TEST ON THIS
    NOW IM TAKING THE UNIT TEST ON THIS RIGHT NOW
    Dnekmsmsmcksms wish me luck!

    • @adilanis9925
      @adilanis9925 3 роки тому

      All the best

    • @lemon-vy3mj
      @lemon-vy3mj 3 роки тому

      @@adilanis9925 ty! And I passed! :D

    • @adilanis9925
      @adilanis9925 3 роки тому

      @@lemon-vy3mj I wish I pass
      My exam Doesn't allows us to use calculator no formula sheets
      15 chapters oh boy🥲

    • @lemon-vy3mj
      @lemon-vy3mj 3 роки тому

      @@adilanis9925 :( no..I wish you the best! Hope you pass
      If they let you take notes 📝 take them

  • @Badbunnysgf
    @Badbunnysgf Рік тому

    THANK YOU SO MUCH

  • @anamacias4497
    @anamacias4497 Рік тому

    thank you professor

  • @emperorraccoon2805
    @emperorraccoon2805 Рік тому +2

    BRO THE INTRO GOT ME DYING

    • @glenda8306
      @glenda8306 8 місяців тому +1

      First time watching it got me too, I had to look back at it like: Huh hold up what was that!?!?

  • @MelindaMelindaJones
    @MelindaMelindaJones 8 місяців тому

    I don't enjoy listening to my Maths Tutor. Your explanation is very good and much mire understandable.😊

  • @ram9881
    @ram9881 2 роки тому

    One question, who defines which coordinates are first, why is y2=4 and y1=2, what stops them from being the other way around, like y2=2 and y1=4?

  • @thiswaswrittenlike2102
    @thiswaswrittenlike2102 8 місяців тому

    YaY! I learned! thanks you

  • @Mahito_Configures_My_Soul
    @Mahito_Configures_My_Soul Рік тому +1

    Man I was sick when we learned this and I'm having a math test over this tomorrow. I have no idea how to do this. I gotta graph it

  • @saulbrickmangaming5794
    @saulbrickmangaming5794 2 роки тому

    I subscribed on my School account i i just want too say i understand everything now thank you !!!

  • @5.56NTO
    @5.56NTO 4 роки тому +2

    nice very helpfull

  • @benbenbus
    @benbenbus Рік тому +1

    the fact that I still don't understand it really says a lot about my horrible memory

  • @Kickflips22
    @Kickflips22 9 місяців тому

    Your videos are so helpful! Also I find myself bouncing like a toddler during the intro

  • @Neigon
    @Neigon 5 місяців тому

    ty bro my teacher couldn't explain that iin 1 month and you did in 5 mins

  • @zilibagwamargaret8433
    @zilibagwamargaret8433 10 місяців тому

    Thank you sir

  • @oliviohonvo1873
    @oliviohonvo1873 Рік тому

    Prof Dave you're a boss

  • @PippaPasses
    @PippaPasses Місяць тому +2

    negative slopes still throw me off. Ty

  • @quimberlylumosad425
    @quimberlylumosad425 2 роки тому +4

    im gonna cry my head hurts lol

  • @meoviona
    @meoviona 5 років тому +5

    How about the form Ax + By = C? How do you graph that and solve that on a table?

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  5 років тому +2

      i've got tutorials on all these things! just look through my mathematics playlist for what you need.

    • @meoviona
      @meoviona 5 років тому +1

      Professor Dave Explains // Okay, thank you. I’ll look for it.

  • @1n0nly_sophia19
    @1n0nly_sophia19 5 місяців тому +1

    Thanks i don’t understand my teacher at all and nobody does and i got a test tomorrow

  • @oatmilkfr
    @oatmilkfr 10 місяців тому +1

    at 2:07 he says y2 is 4, my question is why? how come 2 isn’t y2? I often get confused with these points, does it have to do with how big the numerical value is?

  • @brandons3670
    @brandons3670 3 роки тому +1

    thanks

  • @celesteledesma1157
    @celesteledesma1157 2 роки тому +3

    Hi, can you please explain how did you solved the two last questions please? thanks.

  • @sayakhatui2572
    @sayakhatui2572 2 роки тому +1

    Is slope between y and X and X and y same

  • @parkervanleeuwen4384
    @parkervanleeuwen4384 14 днів тому

    i have a Ged coming up and the understanding of this is blank do you have any full walkthroughs

  • @nobidoaremonlife
    @nobidoaremonlife 6 місяців тому

    Thanks sir ji help full for jee exam🎉

  • @mohammedarasi
    @mohammedarasi 3 місяці тому +1

    The b value in the second exercise of the check comperhension is -3 but not 3, because we picked two values for x and y, first one is (0,4) and second is (1,1) then (y1-y2)/(x1-x2) = -3. So this is what i got, explain me guys if i made a mistake, thanks in advance!

    • @ashishsaini1443
      @ashishsaini1443 2 місяці тому

      it doesnt passes thorough (0,4) it passes through (0,3)for m=-2, c=3 where y=mx+c

  • @woading1
    @woading1 2 роки тому

    THANK YOU I HAVE A TEST ON THIS

  • @AbhishekKumar-yq8je
    @AbhishekKumar-yq8je 6 років тому +3

    oh wow nice professor
    the way you teach is awesome
    please make videos on maths 3D

  • @kenkunochi
    @kenkunochi Місяць тому +1

    Can somebody explain why no.2 y-intercept is 3???

  • @kempmanansala4436
    @kempmanansala4436 3 роки тому +1

    thank you! BTW Philippine here

  • @devi---
    @devi--- 2 роки тому +2

    okay but how do you find the y-intercept if there isnt a 0 point something? ;-;

  • @Gothicfeather
    @Gothicfeather 8 місяців тому

    Y'all my teacher making us watch this for hw sos!!!

  • @MLAATR358
    @MLAATR358 7 місяців тому

    Can somebody tell me what slope line shows that the Y is greater than it's change in x.

  • @tGoldenPhoenix
    @tGoldenPhoenix 3 роки тому +1

    thank you

  • @juangasa2691
    @juangasa2691 29 днів тому

    good luck in your exam!

  • @kjo150
    @kjo150 3 роки тому +1

    thanks so much bestie i have a test in like an hour and fidnt understand anything

  • @power-xg2276
    @power-xg2276 3 роки тому

    Hi professor Dave i want to ask you two equations first how do we do -x + 3y =-9 and second one is 2x + 5y = -20.

    • @whitefeather8387
      @whitefeather8387 5 місяців тому

      Have u done it or do u still need its answer brother after so long

  • @FootWrkTv
    @FootWrkTv 2 місяці тому +1

    Gotta smoke and come back to this. I'm confused

  • @dandelionsszz
    @dandelionsszz 2 роки тому

    Imagine getting carried this hard.
    (Thanks for helping me Prof. Dave.)

  • @Spoonbender01
    @Spoonbender01 3 роки тому +4

    awesome :)

  • @Robsay01
    @Robsay01 4 роки тому

    Wow. Beautiful easy to understand video. So good.

  • @guersomfalcon7544
    @guersomfalcon7544 4 роки тому +5

    2:59 I don't understand, what numbers subtracted together give infinity?

  • @beastmodehi7472
    @beastmodehi7472 4 роки тому +6

    How I still don’t over stand

  • @CalamityOfYorktown
    @CalamityOfYorktown Рік тому

    Saved my ass for my algebra exam, thanks a bunch

  • @sushilkunwar1062
    @sushilkunwar1062 5 місяців тому

    Awesome

  • @aaronstascak3411
    @aaronstascak3411 3 роки тому +1

    Dis is da bestest.

  • @glenda8306
    @glenda8306 8 місяців тому +1

    I only have one question, Does it matter what two points on the graph you need to choose from?

    • @glenda8306
      @glenda8306 8 місяців тому +1

      I have a graph, I picked the two points (-1, 0) and (1,3) the slope is 3/2. I still do not get how to make that equation. Like how did you plug in those numbers?

  • @thegoodlydragon7452
    @thegoodlydragon7452 3 роки тому +1

    In the equation y = mx+b, I get that the M is the slope and the B is the y-intercept, but what is Y?

  • @daibataroy306
    @daibataroy306 4 роки тому +2

    2:43

    • @geoycs
      @geoycs 3 роки тому +1

      Yes, I think he meant “greater than zero” because a line with a slope of, say 1/2 is less than 1 and greater than zero, and it slopes upwards.

  • @gary-uz7lc
    @gary-uz7lc 2 роки тому +1

    TY I DIDNT UNDERSTAND TUS

  • @RaceT3ch
    @RaceT3ch Рік тому +1

    This saved me, for my maths assignment. Teacher did a bad job explaining it

  • @Luvyourfam4ever
    @Luvyourfam4ever Рік тому +4

    Wow, I’m super dumb. I don’t understand any of this.

    • @NewDonta
      @NewDonta Рік тому

      goofy mf

    • @devendraraj1339
      @devendraraj1339 Рік тому

      Congrats

    • @glenda8306
      @glenda8306 8 місяців тому

      You aren't dumb, you just need the right teacher for you. Everybody is smart at something you just need practice

  • @fartballs4905
    @fartballs4905 Рік тому +3

    But how do you find the y-intercept? I understand the slope

    • @gianfrancobruschetta2423
      @gianfrancobruschetta2423 Рік тому

      i didn't understood either.

    • @fartballs4905
      @fartballs4905 Рік тому +1

      @@gianfrancobruschetta2423 I understand now, if you need help with it I can answer you

    • @Shadmannnn
      @Shadmannnn Рік тому +1

      @@gianfrancobruschetta2423 its where the line starts like the starting point

    • @Jayyjaayy
      @Jayyjaayy Рік тому

      @@fartballs4905 answer me plss 🙁

    • @Jayyjaayy
      @Jayyjaayy Рік тому

      @@Shadmannnn Oh it means from where y started that was origin 0,0🧐

  • @bongus606
    @bongus606 4 місяці тому

    Watching this bc I have a test tomorrow and I haven't done anything for it

  • @coline_lovegod_13
    @coline_lovegod_13 8 місяців тому +3

    I don't get it at all 😭😭 this is what I get for not listening to my teacher 😭😭

  • @melanimartinezdevanegas1052
    @melanimartinezdevanegas1052 Рік тому +1

    Thanks Jesus christ of the maths you saved me hahahahah

  • @lekhanshjain8405
    @lekhanshjain8405 9 місяців тому

    Last question that you gave for us to solve in that the m you wrote was wrong I’m sure I’m right cause for the other question I got m right but not for last so I know it’s wrong

  • @arkinyte13
    @arkinyte13 Рік тому +1

    I’m trying to figure out how to graph slopes and y intercepts without being given an equation.

  • @flashn5340
    @flashn5340 Рік тому

    I wish i had found this earlier

  • @dephin2052
    @dephin2052 2 роки тому +2

    i can't understand why there is -2 in the last comprehension instead of 2....

    • @saemafahmi5283
      @saemafahmi5283 Рік тому

      As the rise y is going in the down(negative) direction. So -2

    • @Carrymejane
      @Carrymejane 5 місяців тому

      I don't understand 😢​@@saemafahmi5283

  • @Roboter2.1GG
    @Roboter2.1GG 2 роки тому

    My slope was 1|1/2 and not -2 can someone explain

  • @Yeeter1001
    @Yeeter1001 2 роки тому +1

    hi

  • @Swatch03
    @Swatch03 4 місяці тому

    tell me if I wrong
    x-4
    y3 + 49=52-1=51
    (x47)

  • @avneetkaur1087
    @avneetkaur1087 5 місяців тому

    The fact I understand a video instead of my teacher yapping for 6 hours is crazy🤭

  • @squatch253
    @squatch253 6 місяців тому

    @5:40 isn't 3/2 ("three halves" as it's called here) just a 1-1/2? Calling it 3/2 doesn't make sense to me 😑

    • @yoboyTyYT
      @yoboyTyYT 5 місяців тому

      If the answer was not in it's improper form, the answer would be considered incorrect. If the intercept 3/2 for example, its up 3, over 2. You can't simplify to mixed mumber because the slope would be incorrect.

    • @squatch253
      @squatch253 5 місяців тому

      @@yoboyTyYT Thank you for your response - I'm still a bit confused why it's called "three halves" if it's not actually a fraction, like also at the 4:46 mark he says "five halves". Just trying to reference the meaning of those fractions with what I actually do know about fractions. How those fractions end up translating into a line on a graph is still an absolute mystery to me too - this is where math takes a hard left turn into oblivion lol

    • @yoboyTyYT
      @yoboyTyYT 5 місяців тому

      @@squatch253 Its not that its not a fraction, its just that in slope intercept form, they would want the slope to be in its impropee form if the slope a fraction

  • @FilizMathTutor
    @FilizMathTutor 2 роки тому

    which computer programs you are using to prepare these videos?

  • @aizatamesis463
    @aizatamesis463 3 роки тому

    Very intelligent master.. rhanks for sharing ...

  • @ajbuilds1888
    @ajbuilds1888 2 роки тому +2

    Om