Hi, my name is Charles and I am the one of the maths teachers from the Maxim workshop. I am going to now teach you out some maths. I am going to show you how to graph a linear equation. So a linear equation in general looks like this y = mx+c. Now, it is important to know that this value of y lies across one of the axis and into this vertical axis here, which we call our y axis. Now, this value which is our x variable, lies across your x axis. Okay. Now, it is important to know that this is equation here is the general equation, so you will place numbers inside here where your gradient and your intercept and it gives a projection of what looks like will change in values of x, so that is basically what your linear equation will look like and it is important to know that you always get a straight line, so again we just label these, we have a gradient, which tells you how steep your straight line will be and you have a constant, which tells you variant levels of steepness where you have an intercepted the y axis, so this is for your intercept. Okay. So the first thing we are going to know is set up a general equation into a specific equation. So we have y = 2x+1, now what I am going to do is select three particular x values, spotting here, so we have y and we have x, so we have x equals 0, x equals 2, and x equals 4. Okay. So we have those values there, so we got 2 and we got 4, so mix out 1 and 3. So, once we insert a value x is 0 into this equation, we will have two times 0+1, so again we can see a value of y equals to 1 to 0 in x. Now when x equals 2, we substitute this value of x again into the place of x in our equation and we are applying that two times 2+1 equals to 5, so we place 5 here for 1, now we insert the value of x is 4 into this equation here and get two times 4 in 8+1 equals 9, so we have got 9 as y value here. So it is important to know that this axis is not drawn to scale, but when you are using draft paper, you will have to do it appropriately. So this is just an inaccurate non-scaled and drawn out your straight line, so we would go up to about 10 here, and we will mark half way as 5, and that should give us a good graph from where these values would occur. So the first value would be draught as x equals to 0, y equals 1, so y is again to be 1 roughly around in the this position, we will put a mark here. Okay. So that is the first point where x is 0 and y is 1. Okay. Now we move on to the next value where x is 2 and we have to go up to 5 as projection, so we go from here on the x is 2 in the line and projects upward onto this line end y equals 5, so now we mark of it, now we go over to x as 4 here, and prior equation we will receive y equals 9, so just below this 10 value, go across here and we get 4. now as I said before this is not accurate on your draft paper, you will receive a straight line, so the best I can do is that and that is pretty much how to draw a linear graft. .

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