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Everyone my name is darshan central and the concept I'm going to be discussing here in this math video is called linear equations now a linear equation is pretty simple to understand it's actually the simpler thing in algebra one more simpler concepts in algebra, and it should be too hard if you just pay attention to me closely I'm going to simplify it as much as possible, so you have no troubles here so let me just show you what exactly a linear equation is and that it is an equation that describes the relation between two sets of x and y values in the first power now let's just interpret what this means, so it's all the linear equation does is it sort of gives you an if you have two sets of numbers like a table of x and y values let's just do that here like 12 and 20 for all living the equation does is tells you how these two are related all it does is it tells you what sort of relation they have, and it does it in the first power meaning what equation you get for this will not be higher than the first ball you get no x squared or x to the fourth anything like that it's just going to be in the first power that's all this means right here, so this is let me show you how you would convert a table into linear equation you just find how they are related like here what would you say is the relation between x and y in this case so the Y values are simply all the x value is multiplied by two so but one you multiply by 2 you get to as your Y value here take two as X you multiply by two we get Y so for this your equation is simply y is equal to 2x that's all you've got that, so now you may ask why this is called a linear equation, and I'll just show you that in a second here now we've got this graph here, and now we're just going to plot our X values in the x-axis and our Y values in the y-axis okay so let's get started so one and two it's a point right there one right so too and for it's another point over there so now if we were to draw a line that went through all these point you just will try and connect the points here which put to connect the dots that you could keep going on like we keep following the pattern three and six we could keep adding points, but it would all if you connected them you'd get a line and that is why it's called a linear equation because it represents a line on a graph that's all that's all that's the only reason it's called linear now copies all linear equations have one thing in common they can all be put into the following equation which is y equals MX plus B now this is the standard form of an end of a linear equation if you can put your whatever the equations are given into this form its linear if you can't then you've got something wrong it's not linear equation so what we're going to do here is I'm just going to explain what each part of this linear equation means this equation here means, so you've got a good grasp of this so the Y thing the Y here is just simply your Y value or if you prefer it in scientific terms...
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