Graphing a linear equation by rewriting from standard form to slope intercept form

👉 Learn how to graph linear equations written in standard form. When given a linear equation in standard form, to graph the equation, we first rewrite the linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is the slope and c is the y-intercept). Next we plot the y-intercept and using the slope, we can determine the rise and the run of the required line and then be able to plot the next point from the y-intercept. Finally, we draw a straight line passing through the two plotted points.
Alternatively, we can determine the x-intercept and the y-intercept of the standard form linear equation by subtituting y = 0, then solve for x and substituting x = 0, then solve for y respectively. Recall that the x-intercept is the value of x when y = 0 and the y-intercept is the value of y when x = 0. After obtaining the values of the x-intercept and the y-intercept, we plot the points on the coordinate plane and then draw a line passing through the points.
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Organized Videos:
✅Graph Linear Equations
• Graph Linear Equations
✅Graph Linear Equations | Learn About
• ⚡️Graph Linear Equatio...
✅Graph Linear Equations From a Table
• ⚡️Graph Linear Equatio...
✅Graph Linear Equations in Standard Form | Fractions
• Graph Linear Equations...
✅Graph Linear Equations in Standard Form
• ⚡️Graph Linear Equatio...
✅Graph Linear Equations in Slope Intercept Form
• ⚡️Graph Linear Equatio...
✅Graph Vertical and Horizontal Lines
• ⚡️Graph Vertical and H...
✅Graph Linear Equations Using Slope and Y-intercept
• ⚡️Graph Linear Equatio...
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[@kurri2529]

My teachers were trying to teach this to our class for an hour and 20 minutes and I didn't get a single thing from it, but watching a 5 minute video made me understand this concept immediately.
I have a quiz tomorrow as well, and I'm confident it'll be a breeze. Thanks!

[@ZaBaoi]

How did you do?

[@hiby3319]

@@ZaBaoi she is prob dum

[@macm49158]

So true

[@thelastdaybreathinginetern1385]

Rumor has it the quiz will still be a breeze.

[@rhpspltzy9611]

Who here is doing online school and can’t figure this out

[@gabbiseegmuller5539]

me

[@allie6616]

LMAOO ME but im doing summer school ;-;

[@heyitzalo]

meeee omg

[@justacommenterno.7700]

me. My teacher really suck at doing online classes xd

[@lucid11]

me at the moment-

[@SablemoonProductions]

OMG sometimes the 4th or 5th explanation finally clicks! This high school teacher just helped me in college!! (I am a 41 yr old returning to get my degree and was SO stuck on this! This video finally made it click. THANK YOU!!) Keep making videos please! You make math bearable.

[@brianmclogan]

that is great to hear, and congrats to you for going back

[@SablemoonProductions]

Brian McLogan Thank you!

[@jonahserrato7520]

Makes math more bearable 😂 relatable

[@abaaba3257]

@@jonahserrato7520 😁

[@bawesome5039]

@@brianmclogan Same, in my 40's back in school about to graduate my BA next semester, but had to take a math class and watching this video :) So I can use it to do the problems. Thanks!

[@idkhow]

dude this saved my grade

[@brianmclogan]

awesome!

[@ultimatefan7710]

Same bro

[@ellasedits_]

Who else cramming for a test tmrw cause the don’t know what they’re doing

[@bananoverlord6962]

Same,my maths exam is two days from now.

[@desarlymarshall6795]

@@bananoverlord6962 how did it go?

[@bananoverlord6962]

@@desarlymarshall6795 I failed

[@desarlymarshall6795]

@@bananoverlord6962 oh no!

[@bananoverlord6962]

@@desarlymarshall6795 Yeah, fortunately I passed all other subjects

[@susanjameson2107]

I just wanted to say thank you for your videos. I have always struggled with math, and this semester I am taking pre-calculus entirely online. Your videos have helped me understand so much, and I finally feel like I have my head above water. Your video on how you used to struggle to understand math really motivated me too. Thank you so very much!

[@brianmclogan]

You are very welcome! Keep up the hard work!!

[@anamontalvo2445]

Idk but almost everybody here had understood it, and I'm like "what's going on with this?"

[@Halamadrid159]

Same I don’t get it and still everybody says they get it lol

[@CutieZalbu]

Siz watch the other videos first! If you’re foundation there isn’t strong then you’re obvi not going to get it here

[@windowk5690]

Cutie Zalbu yeah i came from another video

[@jasminetiongco859]

Same, I really don't get his explanation.

[@angelas1761]

Same

[@moldy8202]

I’m going to be a freshman in the fall; I’m studying algebra over the summer. Plus, I’ve watched a bunch of your videos numerous times. You’re such a marvelous teacher, and you make math so comprehensible in just one video.
Keep doing what you’re doing and you’re awesome.

[@Aenahea]

M O L D Y hopefully you do well good luck!

[@noahtalley4351]

Honestly, this helped me more in my senior year. Just remember, it´s never too late to learn!

[@samasworldsparkles428]

Am I the only one studying this at 6th grade??? 😢

[@stormxyz513]

When I was in 6th grade I had to do this lol

[@hundredthjam]

You’re amazing, thank you for making these videos. You explain math way better than my teacher does.

[@ethanj.p5405]

Yooooo, hello everyone in quarantine. This video helped so much for the work my teacher left for me. I forgot all about it😂 but this is the best
math you tuber, with khan academy

[@taylanaydin9404]

So much has happened

[@carlmiles2773]

@@taylanaydin9404 fr ;-;

[@dragonluvver975]

I was sick for two days, thank you so much!

[@tankcommander9852]

Finally a teacher that doesn’t find the most elaborate way to explain an equation

[@mo12306]

We literally have a quiz on this, and we have to learn how to graph. This helped so much!

[@ellaseedorf6840]

OMG, this is the best thing ever!!! Thanks SO much!!! Our school is canceled bc of the coronavirus and they sent homework and I was SO confused!! Thanks SO much for clearing it up!!!

[@user-wi4lz8gd7t]

at this point you have been helping me for two years in a row and i cant stress enough how much you are appreciated . sincerely a broke nursing student trying to pass pre calcus

[@chasehupman3747]

Ima call this man the grade saver.

[@carlmiles2773]

true ;-;

[@LH011]

Who here just had a mental breakdown because they don’t understand this… but this man made sense

[@MrTouge240]

This is one of the best videos I've found on youtube. I think the thing that helps the most is when you say things like undo it so multiplication gets undone by division and addition gets undone by subtraction. The word undone helped a lot.

[@ratahtooie]

Dude thanks this makes sense I keep falling asleep in my math zoom so this helps

[@joceyvibes9534]

Thank you, I really needed to study this since I been making low grades at this lesson 🙌👍

[@asadovx7575]

You are such a great Teacher, god bless you Mr. McLogan

[@zillabeast]

Another grateful student! Much appreciated!

[@charliepope6658]

Man I wish you were my algebra teacher😔

[@kadyjensen779]

THANK GOD YOU EXIST. YOU HELPED ME UNDERSTAND WHAT MY TEACHERS COULDNT TEACH ME LOL

[@THRILLZwithJRUG]

Passed GED math, thank you for your help.

[@josh_isntfunny12]

I have a test on linear equations and graphs next morning and this just saved my grade

[@Marshyhood]

Im doing an exelerated math course were they see if we are capable of doing advanced math next year, and we have to get a minimum of an average of 80% to pass, and i have no idea what im doing, but this video instantly taught me. Thank you!

[@bushraarsalan1146]

very helpful.I feel confident about my exam

[@johnnolen8338]

There is an easier way to graph the line than putting it in slope - intercept form.
Start with standard form: 3x + 5y = 15.
Divide on both sides by the constant term: 3x/15 + 5y/15 = 1.
Simplify: x/5 + y/3 = 1.
It is now obvious, or it should be, that the x intercept is 5 and the y intercept is 3. Plot these two points and draw your line.

[@SLurpy-vn5ym]

ur acualy so much better than my rsm teacher. he spent 2.5 hours explaining this and i didnt get it. now i understand it in a 5 min video. thanks so much!

[@renoahsprings]

I am amazed at how this man teaches class at school, but then also gets money from youtube videos that help teens/ adults with math, this is very smart!

[@renoahsprings]

also, thanks for helping me!

[@ladygchannel314]

Thank you....im beginning to understand it somehow☺️

[@arabbombergirl3493]

THANK YOUUU👏🏽👏🏽👑👑I needed this

[@chascityy]

BEST TEACHER !!

[@Itis_elijah]

DUDE IVE BEEN STRUGGLING N NOT UNDERSTANDING WHAT MY TEACHER HAS BEEN SAYING FOR 1hr N 2weeks n u just help me out in 4minutes TYSM❤

[@recordbreaker6582]

Thanks for the help, I didn't have much notes to study for but this video will help me for sure.

[@brianmclogan]

awesome! happy to be able to help you out!

[@chris_11978]

I wish I had Brian McLogan as my 9th grade teacher he teaches better than my online theacher that I feel bored in his virtual class. Thanks a lot this really helped me out.

[@tforcegalaxy1289]

Thanks bro, you explained it better than my teacher

[@jazirek1406]

I like how his videos are short and they get to the point.

[@augustfeeling]

in this short video i learned more than i have from my teacher, thank you for this

[@user-zg2zg9fd1b]

I have an exam tomorrow and this video just saved my grade , thank you.

[@brianmclogan]

Best of luck!

[@hastybeans]

WAY better than my teacher, thank you so much man

[@TheoVonismyDad]

Question. So what if the equation is 5y=x+10, or if the equation has a number before y. What would you then do if you want to get y by itself?

[@MaximusPrime177]

Thank you so much!

[@funminer1076]

Wow you helped me a lot

[@taiwoakin3651]

And the best math teacher of the year goes to him !

[@aimusoorii4484]

Thanks so much

[@paulalopez5153]

yo thanku for ur service ur videos help me so much no cap

[@samkadham3821]

This is very helpful, thank you sir.

[@giganticbigfoot5421]

This thing is still saving my life even after 7 years.

[@ManishaBista-od2go]

Thanks for do my homework ❤❤

[@mrsamba8151]

Thank you

[@waterproof4403]

I used the y-intercept x=0 method I saw in your other video and it worked in the end !

[@brianmclogan]

awesome!

[@Jack-gx1hz]

thank you i would have failed my exams if it weren't for this video. Thank you so much Mr McLogan.

[@Woodengurl]

Your amazing thank you

[@Chill_Koala]

This was so well explained what the heck? Thank you soo much!! :D

[@danielbolivar6522]

Your videos are awesome

[@jeremiahlong7759]

your my new teacher

[@snuvex8629]

this guy is helping me so much thank you a lot better than my teacher

[@WORLD-OF-MERLIN]

An enigma, wrapped up in an anomaly, and shrouded in mystery - can get solved by this teacher 👨‍🏫

[@Supdog-ed4ie]

thank you

[@truth5121]

Thank you so much, I already understood how to solve the equation but I couldn’t for the life of me figure out how to graph it

[@KneeKrusher]

You are the man

[@tawhidhossain1183]

I understood everything.

[@davewolpak2732]

You mention the slope is -3/5 doesn't matter if 3 or 5 are negative as long as they both aren't negative which creates a positive. That makes sense as you have a negative for a slope.
I am no math expert so maybe I am missing something so please fill me in because my understanding of this is.
if the the 3 is positive you are going up 3 places landing on the y axis at +6 not down -3 landing at 0. If the 5 is negative you are going to the left for -5 you get a opposite deeper slope and your coordinates are (-5,6) (x,y)
Any info much appreciated.

[@desmikawhite5069]

life saver!

[@hoy6705]

Nice and thank you

[@brianmclogan]

Happy to help :)

[@bananoverlord6962]

Thank god this man's channel exitsts

[@elijahhowe1108]

this 5 minute video taught me more then a 2 hour class

[@cheyennemendoza7648]

I finally understand

[@akoku7043]

Question, how do you do this if there’s no number with x?

[@flow_matik]

Nice !!!!!!!!!!!!!!!!

[@alexisa4663]

my old teacher couldn't get her video to post then expects us to do it with no explanation, this guys got my back tho

[@carlmiles2773]

lol same wit me this one time

[@camilarafael2774]

I’m in 7th grade and I couldn’t understand thanks! This helped so much during online classes!

[@brianmclogan]

Awesome!!!

[@outlooktximd6994]

I'm in 7th too and oof this is the worst this video is helping

[@camilarafael2774]

@@brianmclogan this has helped me so much. Guess what? Im in 10th taking AP Pre Calculus with a 4.0 gpa ❕ Thank you so much❕

[@hiddenblue1598]

Is the 0 line in the y axis is still counted

[@adambakas13]

Why would you subtract the -3x in stead of dividing? And why over complicate it the way you do?

[@mrfresh3695]

I'm confused somewhere but I dont know where😭😭

[@joseline4330]

SAME AHH

[@sebfairbanks6624]

damn this was actually so helpfull

[@__Ethernet__]

Very nice but how do I do it if the x is a negative, like -4x

[@nicolemontoya5222]

I swear if all teachers taught like this I would always get 100% on exams

[@iiiwaaa]

this man is the messiah

[@VenoOnYt]

Passed grade 10 with a 50 because it’s hard for me to understand what the teacher is talking about, started grade 11 and this is the first thing that really clicked. At the start I didn’t even know how to graph something in the completed form but it seems so simple now 😂
Edit: it’s a lot easier on video form because I can rewind and make sure I’m caught up

[@petrastrizrep9847]

could you explain one problem to me, please? 5x - 4 / 3 + 3y + 1 / 4 = x + y

[@lucasmurphy3760]

I’m definitely not watching this 30 minutes before I’m tested on it

[@blazethedragon7462]

How did your test go?

[@ArtemKaOnYT]

thank u for explaining. helped me and now i can finally do my homework

[@brianmclogan]

awesome! happy to help

[@mrzeref6941]

Where did they get the 15?

[@Xae_in_a_Coat]

I’m currently trying to figure out how to graph an equation that looks like this: y-8=-2(x+3) ...but I can’t find any tutorials that are explaining how to do so...

[@Akuma-qv5zi]

I now it's like 6 years in the future but the kid that's coughing gives me anxiety 😂

[@soulreaper1317]

Why can’t my professor be this straight forward😂

[@fatonkasolli5806]

Thank you because tomorrow I have a math exam

[@Supdog-ed4ie]

Faton Kasolli same lol

[@simon-rv1mv]

waitttt. 3/-5 wouldnt u graph that as 3 up and 5 to the left. that gives u a totally different slope and everything. please tell me if i’m wrong or something.. THANKS.!!

[@suji4175]

Why cant all math teachers be like this

[@Goated722]

Respect

[@TJ-yi6ts]

mans helping me with finals

[@nginonyagojuachbilodhong8830]

thx for enjoyable explaining

[@custardkreme]

tysm ilyyyy

[@dorisortiz1356]

What if the y is by itself??

[@elenistavropoulos3270]

this made it so much easier thank you

[@rawah3105]

Thank you so much ,, your videos are so helpful 💙💙💙

[@juanvicente8884]

4:19 -3/5 but you put the -3 on the positive side of the cartesian plane