Video Gallery

Algebra 1 - Slope Intercept Form

Go to Video Gallery Added Apr 22, 2020 •

Copy this URL:
Embed code:	<iframe class="edlio-embed-player" type="text/html" width="640" height="360" src="//www.oakmil.org/apps/embed/?v=257473" frameborder="0" allowfullscreen></iframe> Change dimensions

Go HD

Objective 1) Identify Slope and Y-Intercept from an Equation in Slope Intercept Form a) be able to (re)write and equation into Slope Intercept Form, if given a Linear Equation not in Slope Intercept Form 2) Write the Equation of a Line in Slope Intercept Form given a) the slope and y-intercept b) the graph of a line c) two points (that exist) on the line 3) Graph a Line given the Equation of a Line (in Slope Intercept Form)

Show Transcript

welcome back now lessons on slope intercept form to write an equation in slope intercept form how to graph a linear equation from slope intercept form reminder what's a linear equation equation so first though intercept form slope intercept forum is the equation y equals MX plus b y equals m * x + 2 be the coefficient of the that is your slope and the number is your why intercept we don't cause the slope Y intercept form it's the slope intercept formula why in a bit so slope is the variable M and y-intercept for your intercept is the variable so before we even equation to do his first find the slope and the y-intercept given an equation so find slope and y-intercept that's a shorthand way of writing given an equation what is the equation for y equals -2 syphilis uniform even before that this is a nice example simple examples but here's the thing make store is salt another way of saying sure why is isolated naturewise myself sometimes I'll switch things around have the X and Y on the same side or low salt instead it's always make sure why is isolated solved by itself before you begin and after you have that helps y equals MX plus b your slope Miss case 5 intercept is your B that is it is that simple just make sure it's just 5 it's not 5x it's just 5 the slope is M and that is in front of the variable X it is the coefficient is just a number no variable so that was problem number one take a second out right now pause the video and do. It number one come back once you're done you shoulda pause a video on your back your slope M and your y-intercept intersect B is 2 servers let's move on the prime number and if you didn't get it right rewind it to this example watch it again and see prime number two now prime numbers write an equation so there's three different try this soap right and a lie given y intercept all of these are going to start with write an equation of the line the difference is pretty much what's given in this case you're given the slope in the Wind even before it begins the line they automatically assume you know that an equation of the line is automatically y equals MX plus b imma let you know that for now cuz in a section or two from now they're going to ask for different forms of an equation of line but when it doesn't say anything Pacific energy equation of a line slope-intercept automatically assume a y equals MX plus b slope is negative 4/5 this is a pretty easy example all you got to do is just plug it in again what am I saying the equation of a line you just have to know what the variables mean so in this case you got to remember Adam stands for slope MP stands for y intercept all you have to do is substituted in y equals what is the slope the smoke is -4 V and then what's the Y intercept it is 7 plus the other the Sonic has a + 7 something out very important so why don't they give you the slope and the y-intercept Zillow complete is y equals negative 4/5 x + 7 do not forget the X very important slope intercept slope is the coefficient do not forget that phone number to take hi Mountain Dew got it number to pause the video when you're done come back in coming back here now it's cuz when paused it the answer two got it number 2 is y equals 3/2 - 1 y equals 3/2 X - 1 if he did not answer stop the video rewind it all right let's go math problem number three now this one is different we have write an equation of a line given the slope and the y-intercept number three write an equation of a line given a graph of the line different we were given instead of the slope and y-intercept a graph instead but here's the thing you still have the slope and the y-intercept so let's go hear this ping Caroline that's the one that's our graph in the x axis is called the Y intercept because that is the point where it crosses the y-axis is your wireless right there this right here is your y-intercept there more specifically intercept is just an observation is the integer so knowing the y intercept is the point where across the y axis B is equal to -2 that is super simple what is the slope and y-intercept now the slope to slope fairly easy all you got to do is remember slope is the change in y over the change in after you are pretty much right across from your point and count how many steps so that you're changing y1234 so the change in y is for and then across number to make that nice or right triangle across can you change in x 4 / 2 nice and simple here's another way to do it did he have a graph all you got to do is know how to trace for your lips what's the formula to find your first got to find coordinates in the coordinates of point x y is negative 2 to the coordinate for this is 0 negative X is 252 and that is to to use the formula using my social T charts plug in your 2.0 -2 X and Y so am I to remember smoke is the change in y over the change in X so let's look at how does negative to change into two there is a change in y I count 4 steps how did zero get to 2 on the number line from 0 to 2 two steps and that says my ex that's my change in x same thing we have a graph you can visually do it but if you're worried about it find the coordinates use the formula so now we have equals to all right remember write an equation of the line the equation of the line equals MX plus b the Y intercept you have to watch out y equals the slope intercept form flipping around be nice is too and the is -2 slope intercept form y equals 2X go negative y equals 2x whether it is finding the equation of a line Y equals MX plus b slope intercept form given a graph of a line take a second pause this video and do. number three max as you unpause it your answer can be written two ways but it's the same way the answer should be equals negative x + 2 he wrote it as y equals negative if you didn't get that and daughter got all right next one number for caramel corn so you're going to what's equation of set a line ashore for equation write an equation of a line point so the first one I gave you the slope and y-intercept easy substitution find the why do some work but you didn't point in Smoke they do not give you a graph to write an equation of a line is be redundant y equals MX plus b given two points what are two points 2 1 and 5 negative 8 now we have to find and your beat what?? Those are the things we are looking for now we don't have to confine your slope again remember you're slow is the change in y over the change in X again the formula T chart and why you got two points XY all you got to do is look at this you start at 1 on the number line and you end up at -8 how does one get to -8 cuz we subtracted 9 how does to get to five we added three change in y over the change in x simplifies to -3 what's the best case now what's flipping around are chains and why can you get to 19 / how to spies I change the next I subtract 3 spell our slope order to write an equation in slope intercept form intercept what is your bean how do you find examples so since we have her y equals negative 3x plus and we're looking for the bee once we find that we have our answer confirm do we have two points got your ex. Sure why this is this is why you have two accidents wise but this axe goes with this wine it doesn't matter which one since you're using both of these for this equation just choose one set spice do them both to show you it doesn't matter which one I would choose this one cuz they're nice small number than this one is me cuz even remember I'll do this one first so all you do is substitute for x we already got that -3 therefore are slope that just leaves us with beat us off so by -8 -8 equals -3 * 5 + because we don't know what I'm going to stop there before I move on the other one to one that's why 1 equals -3 * 2 Plus I don't know where they look very different right now let's call them both at the same time with simplify -18 1 equals -3 * 2 negative 6 Plus review what we have to do get solve for b isolate be the case was ahead 15 this one was at 6 to go outside he has d -6 + 6 + 0 goes away OnePlus 6 7 equals B what's -15 + 15 0 goes away leaving us with what is -8 + 15 7 did not matter which one and it's always the case it doesn't matter which one you do you just got to watch your arithmetic when you solve for b you got both what was RM RM or slope was -3 and a y-intercept was 7 now all the information we need to do a slope intercept form equation of the line is y equals negative X S7 I did a lot of different things do creatures you find your slope up to you easy key card do not use the formula change in x and then you make a choice with one of the points to plug into your equation to find your be your X and Y but again who won the sky simple numbers super easy but you still get this one with 5 + -8 take a second out and do. It number four so let's look at this right here what is a number 5 pretty much the second objective equation from intercept form so let's look at this right here alright so y equals 2x - 1 again how do you know if it's a linear equation you know an equation is a linear equation when your variable so your ex is a power of one when you have in the pretty much a linear equation is always in the form of Y equals X equals MX plus be some form of this right there and always remember that rain again let's do linear equation right now from slope intercept form just like the very first intercept your slope your y-intercept is -1 and your y-intercept slope variable m y intercept why is that is how you move that is 2 miss that is B that's where you wanted begin how do you move how do you begin but how you move should always be a fraction how do you change any number to it how do you change an integer into fraction put it over 1 you do not need graph paper it is super simple just making nice little all right I messed up right here you don't see if you can see it this is your x axis it'll still be still all right so start where you begin right there you begin on your y intercepts go on the Wireline find -1 here 0 get in there and the next thing you do how do you move from there that's what the slope does the slope is the change over the recipe we go up to 1 to let me go over 1 there's our Nest coordinates 1 1 then if you want to keep on doing it we go two more 1/2 Uber even though I don't have graph paper visually you can see if I got a ruler that straight right there sometimes give me the space to give you this half of the grass so you can go anywhere so you know if I went up to then to the what's the reverse I go down and back to the last one so down to one to one go for an Infinity 2.0 this is 101 and went to what is it 1 2 3 and then right here let's go and then went back one and this one I'm back to for that -2 simple enough in that that how do we grow so horny and all that hair like I actually do one more so what's this dude got it number one grants equals negative 3x Plus first off identifier how to remove remove negative 3 versus 4 graphing is -3 / 1 where we begin. that is at 4 we had the two parts and that's all we need on how to move so we don't have Air Force make yourself an x y axis super perfectly good enough so we begin on the y axis intercept y X4 so 1 2 3 hair for how do we move from that point we go down over one we go down three one two threes and over one 3 3 / 1 straight line and if you go backwards instead of going down go up three into the back last one 123 Norfolk go on forever I could do it again one two three over one notice continue our that's how easy it is to grab just identify the find the slope and y-intercept

Video Gallery

Algebra 1 - Slope Intercept Form

Popular Videos