Hello I'm going to talk about slope intercept form of a line. Slope intercept form of a line is a form that looks like Y equal MX plus B where M is the slope and the slope is always the value that's multiplied by the X. If there is no number with the X, it's an understood one. And 0B is a point and the point is the Y intercept. It's important to give it as a point. The point is the Y intercept. Slopes are thought of as the rise over the run. We can think of the rise as the change in the vertical direction divided by the change in the horizontal. If we're given two points, we could think of it as the YS divided by the X's. Those little ones and twos just identify which point. So we could think of it as Y 1 -, y two over X1 minus X2 or Y2 minus Y 1 / X two minus X one. Now, it doesn't matter which order you put it in, but what does matter is that up and down is coming from the same point. So that Y1 and X1 had to be from the same point back here. Or if we wanted that Y1 and X1 to be at the end, that's OK, but up and down have to be from the same point. So this Y2 and X2, same point, this Y2X2 the same point. Positive slopes are going to rise from the bottom on the left and go off to the right. Negative slopes are going to start in the upper left and go to the lower right, and a zero slope is just going to be a horizontal line. We're going to look at a couple examples. We're going to graph Y equal 3 fourths X + 2. The first thing we want to know is the Y intercept because that's our starting point. So our Y intercept is the 0, two. It's always zero at the beginning because we're not moving left or right. We're just going up and down on the Y intercept. So 02 right there. Our slope is 3/4. That tells me we're going to go up three and right 4. So from our starting point, which was the Y intercept, we're going to go up three and to the right four more points. Just make it look a little more accurate. Up three, right four. I could also go back three and to the left 4, back three to the left 4, and what we're doing here. Down 3 to the left four. Yeah, whoops. Down 3 to the left 4. Down 3 to the left 4. The reason we can do down 3 and left 4 is 3/4 is equivalent to -3 / -4 because a negative divided by a negative is really just a positive. Some other things to remember. If it's 1X, we could write it as just X, so slope is 1, or we could think of that as 1 / 1. If it was 5X, the slope is 5, or we could think of that as 5 / 1. Now the one that some students find tricky is -2 / 3 and that could be -2 / 3, which would say down to right 3. But it's also possible to think of it as 2 / -3, which would be up to and left three. Those are the equivalents for negative in front of 2/3. The last thing I want to do is I want to find a slope given two points. If we have points 1-2 and four zero to find the slope, we're going to do the change of the YS over the change of the X's. Remember, like what was emphasized earlier, up and down have to be from the same point. In this case, we would get 2 / -3. We usually don't leave a negative in the bottom. We either put it out in front or we put it up on top. I want to emphasize, however, it didn't matter if we started with the .12 or the .40, so we could have done 0 - 2 / 4 - 1. Remember, the only thing that's important is up and down come from the same point. So right, there's that 12 point and we get -2 thirds. Either way. Thank you and have a great day.