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Joseph Brian Roswell
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Linear Equations
Added Sep 14, 2022
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using linear equations to find an ordered pair when you're given any play Asian where you have y and an x value separated by time you're going to have the dependent which is your y value your Independence is your ex by you it's like an input output one by Story Goes to tires to buy stores to go to sleep War tires 3 by Stones equals to 6 hours and telephone and instead of them giving that information you they're going to start giving to you as an equation x is always your input just like your ex access your why is your answer when you saw and substitute the F Within by using your teeth chart and there are four steps that I want you you're very familiar with one is to create a t-chart like you see right here at column of Y column and Opie stand for ordered pairs your second step is substitute or replace all of your ex bayous into your original equation y equals 2x in this example and you are going to stall for your ex your wife back using your ex into the equation whenever you have that process occurring you are going to multiply your coefficient the number in front of your variable and eventually this is going to be something different right for right now when you call this your call a patient your variable X once you solve and can you answer you are going to plot all of your order pairs onto a coordinate plane coordinate plane has your x-axis or Y axis always comes first when you graph and you always start from the origin which is zero, zero where your axe axes in your y-axis intersex men the last thing is you'll connect the dots at the very end create your own linear with Muse line of your equation in this example I used to X is equal to your y so I have my T chart a labeled my ex values of 01 and to typically they are going to be given to you in this example of this act is zero I wrote axes equal zero I wrote my original play Gen Y equals 2x and everytime I see in my original and ask I'm going to replace it or substitute it with the zero and put it inside the parentheses so now I y equals 2x y equals 2 open parentheses 0 parentheses whenever you have a number and a parentheses it means to multiply so I have I'm 0 and you know that you can 0 0 x 0 y equals 2 zero I bring this zero back into my seat chart under my y column I substituted my ex and I saw that everything and my answer was Zero there is a my order pear therefore is asked, why would you throw, 0 and I do the same thing with the second one which is one as my ex your it is actually goes one so here's my original y equals 2x if I see you next I put parentheses which I did and inside a princess I put a one cuz that's what I'm using for this section y equals 2 parentheses one and we said that anytime you have a number add a parentheses it means to multiply so therefore 2 * 1 which is to the Y equals to this answer those into my y, next to when I use which was one so actually one my answer when I saw it it was too so therefore my order pear is one, too my last one in this example is I use a so actually goes to I wrote my original why was T-Rex y equals 2 parentheses I put that to inside and I guess I could have done this you can see where I'm getting my numbers from and now I get to * 2 which is 4 + y equals 24 and I bring it back into my wife and I write to , for which is my order parents man I go to my order coordinate plane label everything x axis for the y axis vertical we always start from the origin with these two axes come together and I go to the first or two pair of zero, zero what that is right here I go to the next one one, to start at the origin and move over my ex is one stop my second set of numbers go up to 12 for the doc and the same thing with my third always starting the origin of over my first fire x 12 then I move up for one two three four and then I connect those. write my equation y equals 2x on that line this particular equation y equals 2x because there's nothing added to the various it is called a direct relationship or a multiplicative relationship which means I must go through the origin or zero and that's what a show on this example we are looking at what we call an indirect or an additive relationship with those not through the origin and Christian here at y equals 2x + 1 as my equation I'm using I created my future ex-wife op20 one two for my ex and then again I did the exact same thing as I did over on the first one y equals 2x + 1 I'm using 50 from my Paula and I see a breakfast I mean an X at the premises for the zero because I'm using a zero and I do my pin. 2 * 000 + 1 is 1 so therefore y equals 21 and a place that one under the Y column my order pair becomes zero, one and the same thing with x equals one this is where I got my one from x equals 21 again y equals 2x + 1 is High original I do next after the parentheses and I'm going to show you what I'm 3 MI one I know that I'm multiplying 2 * 1 which is two plus that one which is 3 y equals 3 bring it back next to my go to one column can I get one, I did last 12, 5 how to get the five cuz I substituted the two every time I see an ex and you did 2x + 1 I see an ex substituted with the 22 * 244 + 1 is 5 so therefore y equals 5 every single time I use number 2 in my equation or a 2, 5 again start from the origin of 0 means I did not move any position on the x-axis so today why by but I. Next order pairs one, three star from the origin move over one is that your ex value man move up 3 which is your wife last 12, five-star from the origin move over to on the x-axis and up five units on the y-axis my dock connector and you can see that this year as I stated earlier in the Rack or the attitude will never cross the origin and sure enough this is my origin with my finger is do not cross them rather across that way and asked how I can tell if you grab the correctly because it says it's going to pass through a positive one at your y value which in your next math courses somebody called the y intercept
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