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Professor Dave here, lets graph some lines. Weve done quite a bit of algebra up to this point, by learning how to manipulate and solve different kinds of algebraic equations using a variety of techniques. But algebra isnt just about manipulating equations, we will be doing a lot of graphing as well, because graphs are visual representations of equations that help us comprehend the relationship between two variables. Lets take an incredibly simple equation, Y equals X. This says that whatever X is equal to, Y is equal to that, too. So if we make a chart of X values and their corresponding Y values, we get zero, and zero. One, and one. Two, and two. This could continue to infinity in either direction. Is there some way we can draw a picture that demonstrates this relationship? Why dont we draw a grid. On this grid, which we call the coordinate plane, we can create two axes, the X axis and the Y axis, which split the plane up into four quadrants. Those are quadrants one, two, three,
