 So the first thing that you get from two points connected together is a slope. Now a slope of a line is basically rise over run. And it's talking about how steep something is. So the equation for slope of a line is y2 minus y1 over x2 minus x1. Now these subscripts here, they refer to different points. So if this was our point 1, we call this x1, y1. And this was the second point we had, so we're going to call this x2, y2. So it's basically talking about comparing two points and getting the slope. So our points here are y2, y1 is negative 3, y2 is negative 2. So what we're going to do is sub the numbers in for the symbols. So y2 is negative 2. y1 is negative 3. So what we're going to do is go minus negative 3. x2 was negative 5 minus x1 was 2. Now if you remember your negative numbers, and negative and negative becomes positive. So this becomes this. So negative 2 plus 3 is 1. Negative 5 minus 2 is negative 7. So the slope of this, the one mistake I did, let's try this again. This wasn't negative 2, it was positive 2. So this guy is positive 2, so it becomes 5. So be really careful with the negative and positive numbers. So positive 2 plus 3 becomes 5 over negative 7. So this is the slope we have right now. We went 5 units up to go from this point to this point. This basically means you go 5 units up which is 1, 2, 3, 4, 5. And you go 7 units to the left which is 1, 2, 3, 4, 5, 6, 7. And that refers to the slope of a line. So slope y2 minus y1 over x2 minus x1 is one of the first things you start dealing with when you're dealing with a corner system with equations of a line. The next thing you start dealing with is the midpoint of a line. So for example, if you have two points here, if you want to divide this line into two equal parts, you want to find the middle. So the midpoint equation becomes, we'll put it in there, midpoint. The midpoint is the midpoint of the axis and the midpoint of the y's. Now the midpoint of the axis is basically the average. So what you're doing is you're going x1 plus x2 divided by 2. That's how you take an average. Just think about what's an average, what's the number between 10 and 20? The number between 10 and 20 is 15. And the way you get that, you go 10 plus 20 and you divide it by 2. So 10 plus 20 is 30 divided by 2 is 15. And that's exactly the same thing you're dealing over here. So you go x2 plus x1 over 2 and y2 plus y1 over. So x2, we had, what was our x2? We chose that one as being the coordinate point. The second point and this one is being the first point. So x2 is negative 5 plus 2. So this guy becomes, let's go down here. Negative 5 plus 2 divided by 2. And for the y, it's y2 which is 2 plus negative 3 divided by 2. And it's 2 for y2, not negative 2 but the mistake we did for the slope one. So we got negative 5 plus 2 is negative 3 divided by 2. Negative 3 divided by 2. And for the y's, it's 2 plus negative 3 which is negative 1 divided by 2. So the midpoint for this line is going to be negative 3 over 2 and negative 1 over 2. Negative 3 over 2 is negative 1 and a half. So what we're going to do is come to the coordinate system. So the midpoint for this line is going to be negative 3 over 2 and negative 3 over 2 is negative 1.5. So we go 1 and a half over and negative a half we go 1 half down. So we just found the midpoint of a line. Okay, easy. Two things, the slope, super important. And then you have the midpoint which is just the average between the x's and the y's. Now the third thing that you end up doing with the line is figuring out what the distance is from here to here. The way we do this is it's a different equation. Now I'm going to go and recreate this on another wall. So we have room and I'm going to explain to you how the distance works. And the distance is really just a Pythagorean theorem. So we're going to move on to another fresh wall and continue from there. We'll use up all the space here and lots of fresh walls around to do some math on. Okay, talking a bit.