[MUSIC] In this tutorial, I will explain to you how to look at functions, specifically linear function and how to map them in the axises. So for the sake of this example, let's take two functions. First function, x + 2y = 5. And for 4x + y = 6. So you can see actually that these are linear functions. There are two unknowns, this is a system of equations and we will be able to easily solve this system equation. But for now let's take with one function at a time and we will do the following things. First of all, we will draw axises. And then we will map those functions into those axises. So 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6 and 7. This is axis y, vertical and horizontal axis x. If we take the first function x + 2y = 5, there are many ways in which we will be able to plot this function into the axis. One of the easiest ways to do that is to find two points and connect those two points with just one line. So the points that we will chose will be x = 0 and y = 0. Those points correspond to intersection with axis y, and this point correspond to its intersection with axis x. And the way to do that is by, Putting the value of x into the original function, and we end up with 2y = 5, or in other words, we say y = 2.5. The same idea will apply with y = 0, we have x = 5. So we have two points that we're interested in right now, one point is (0, 2.5), which is corresponding exactly to this point. And another point is (5, 0) which corresponds exactly to this point. Those two points can be connected with one line. Which looks like that. So the second graph that we'll plot will be 4x + y = 6. We'll find the intersection with axis x and axis y. Again, by substituting x = 0 here, we'll get that y = 6, and by substitution of y = 0, we'll get 4x = 6 or x = 1.5. There are two points that come out of it, one point that represent an intersection with axis y, (0,6), and the second point represents intersection (1.5, 0) with the axis x. And again we can connect those two graphs together, Do these two points together with a straight line. One point of interest that we'll discuss in the next tutorial will be this point. This point will be a crucial point when we talk about an interaction for instance in the market, where this point will represent an equilibrium. [MUSIC]