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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👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: www.freemathvi...
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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!

[@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

[@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!!

[@idkhow]

dude this saved my grade

[@brianmclogan]

awesome!

[@ultimatefan7710]

Same bro

[@OneMoreTime-xt2]

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

[@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

[@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 ;-;

[@hundredthjam]

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

[@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

[@tankcommander9852]

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

[@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!

[@ratahtooie]

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

[@chasehupman3747]

Ima call this man the grade saver.

[@carlmiles2773]

true ;-;

[@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!!!

[@mo12306]

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

[@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.

[@dragonluvver975]

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

[@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!

[@BrindleBeBrindle]

I was looking for graphing with standard form but this video was so well taught I stayed and took notes. 😅 Great professor

[@kadyjensen779]

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

[@charliepope6658]

Man I wish you were my algebra teacher😔

[@josh_isntfunny12]

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

[@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!

[@asadovx7575]

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

[@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.

[@user-zg2zg9fd1b]

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

[@brianmclogan]

Best of luck!

[@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❤

[@joceyvibes9534]

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

[@taiwoakin3651]

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

[@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.

[@THRILLZwithJRUG]

Passed GED math, thank you for your help.

[@fatonkasolli5806]

Thank you because tomorrow I have a math exam

[@Supdog-ed4ie]

Faton Kasolli same lol

[@bushraarsalan1146]

very helpful.I feel confident about my exam

[@augustfeeling]

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

[@hastybeans]

WAY better than my teacher, thank you so much man

[@WORLD-OF-MERLIN]

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

[@jazirek1406]

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

[@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?

[@chascityy]

BEST TEACHER !!

[@Jack-gx1hz]

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

[@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.

[@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

[@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❕

[@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!

[@ladygchannel314]

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

[@giganticbigfoot5421]

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

[@tforcegalaxy1289]

Thanks bro, you explained it better than my teacher

[@zillabeast]

Another grateful student! Much appreciated!

[@snuvex8629]

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

[@nicolemontoya5222]

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

[@lucasmurphy3760]

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

[@blazethedragon7462]

How did your test go?

[@Akuma-qv5zi]

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

[@arabbombergirl3493]

THANK YOUUU👏🏽👏🏽👑👑I needed this

[@elijahhowe1108]

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

[@adambakas13]

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

[@funminer1076]

Wow you helped me a lot

[@bananoverlord6962]

Thank god this man's channel exitsts

[@mrfresh3695]

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

[@joseline4330]

SAME AHH

[@kirstentroxell5194]

Thank you! I'm so glad you made these, it's much easier to understand with the way you explain it.

[@ManishaBista-od2go]

Thanks for do my homework ❤❤

[@suji4175]

Why cant all math teachers be like this

[@akoku7043]

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

[@faimproductions338]

Thanks for the video, it really helped me for my quiz today. Thank you very much!

[@paulalopez5153]

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

[@ArtemKaOnYT]

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

[@brianmclogan]

awesome! happy to help

[@Chill_Koala]

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

[@waterproof4403]

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

[@brianmclogan]

awesome!

[@budknight3832]

Online school quarantine?

[@champwellington6921]

BRIAN! You are the man! This is brilliantly explained in layman's terms. Thank you sir. I'm subscribing to your channel.

[@brianmclogan]

you are very welcome! happy to have you!

[@jeremiahlong7759]

your my new teacher

[@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

[@baltimoreplayground5581]

thank you sir, i easily get it. i can't understand my teacher when she taught this because she did not mentioned the formula😂

[@iiiwaaa]

this man is the messiah

[@josieguts]

IM CRAMMING THE NIGHT BEFORE FINALS I LOVE YOU SM I DIDNT UNDERSTAND 😢

[@josieguts]

ur a legend

[@samkadham3821]

This is very helpful, thank you sir.

[@soulreaper1317]

Why can’t my professor be this straight forward😂

[@nginonyagojuachbilodhong8830]

thx for enjoyable explaining

[@jennanolan547]

I have to do this big packet worth like 15% of my grade and this saved my butt

[@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.!!

[@__Ethernet__]

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

[@jessiedejadostubat3492]

Hi, thank u. But what if the answer is not a whole # but with decimals. Example is 8×+9y=34? Finding Y would take me to y=-8×/9+34/9. With an answer of y=-8/9×+3.78

[@jessiedejadostubat3492]

I mean with a decimal answer, not whole #

[@user-pz3yz3lb9z]

Tysm I forgot how to do this in 2 months 😭

[@TJ-yi6ts]

mans helping me with finals

[@hoy6705]

Nice and thank you

[@brianmclogan]

Happy to help :)

[@camille7928]

he good at explaining.. way better then my teacher 😂😂😂

[@hiddenblue1598]

Is the 0 line in the y axis is still counted

[@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...

[@MaximusPrime177]

Thank you so much!

[@adelemtonga2944]

wow nicely explained.

[@brianmclogan]

appreciate it

[@cheyennemendoza7648]

I finally understand

[@FelipeHernandez-ti4if]

I have a F in math 😀🔫

[@aimusoorii4484]

Thanks so much

[@mrzeref6941]

Where did they get the 15?

[@flow_matik]

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

[@hiddenblue1598]

Change in x and change in y? So the x is 5? And y is -3? Or vice versa??

[@teknul89]

X-axis is (-3,5) it doesn’t matter where you want to start just that the one you want to pick to start with should have a dot Y-axis is (0,3)