X and Y Intercepts

Let's look at the idea of what an x and y intercept are. Basically, an x intercept is where it intercepts the x axis, and the y intercept is where it intercepts the y axis. Say if I drew any line through these axes. Notice it crosses the x axis here and it crosses the y axis here. So I can say that this is an x intercept. Here is a y intercept. But the way we write things is a little different than saying "y intercept" and "x intercept". The way that we would write these is actually as point. Notice this is special. Any x can be here so I am going to write this as an x. Then we start thinking, 'What's the y value?" Notice any point along this x axis, the y value is going to be what? Zero. So that's how we would write an x intercept. So we have our x value of whatever that may be, then zero for our y value. And it is the same idea as the y intercept. So the y intercept, notice, at any point along this y axis here, that all that is going to be is a zero for our x's, and of course it can be any y possible. So, now let’s look at say if we had a particular one, so let’s actually find them. So say if we have minus these are all in 1 increments. So you can actually say our y intercept is here. We can say our y intercept is the point (0, 3), to where our x intercept is the actual point (4, 0).