Find the slope of the line containing the following two points 7/10 and -5 and negative 1/5 Negative 1/5. So the first thing we need to realize is to find the slope it's rise over run or the change of YS over the change of XS. So negative 1/5 - -5 / -1 fifth minus 7/10. So one way that I personally help myself in trying to remember this is that the points on top and bottom, the X&Y term had to come from the same location. So the X and the Y had to come from the same location. So now we need to get a common denominator and our common denominator we could think of that minus a negative first of all as plus and five is understood to be over a one negative 1/5 -, 7/10. This is called a complex fraction, a fraction within a fraction. So when I look at the just the top portion, I realize that my common denominator for just the top is going to be 5 because I have a 5 and I have a one in the bottom. If I look at the bottom, the common denominator for the bottom is going to be 10 because I have A5 and A10 down there. So the common denominator for the numerator portion is A5. And our thought should be, well, the first fraction already had a 5 in it, so we're going to leave that first one alone. The second term had a one originally in the denominator. What do I have to do to 1 to get it to become a 5? I'm going to multiply it by 5, so if I do the bottom, I need to do the top and 5 * 5 is going to give us 25. Once the denominators are the same, we're going to add the numerators. So -1 + 25 / 5, which will combine to give us 24 fifths. When I look at the bottom, I need to get a common denominator here again, and it's going to be tense. And now this five. We had to multiply by a two to make it 10. But if we multiply the bottom by two, we're going to multiply the top by two. So we're going to get -2 -, 7/10. They're both tenths. So once I get the denominators the same, I just combine the numerators -2 -, 7 would give us negative 9/10. Now this complex fraction really says twenty 4/5 / -9 tenths. And when we divide 2 fractions, we're going to skip, flip and multiply. So we're going to skip the first one. We're going to leave 24 fifths. The way it is, we're going to flip that negative 9/10 and make it -10 ninths, and we're going to change the division to multiplication. So now there are a couple different ways to do it. At this point, I personally like to reduce things down. So if we look here, we can see that A5 and A10 could each be divisible by 5. And then we could also see that a 24 and a -9 are both divisible by a three. So if we think about 5 / 5, we'd get one and 10 / 5 we'd get two. If we think about 24 / 3, we'd get 8 and -9 / 3 we'd get -3. Now I multiply straight across. So 8 * 2 is sixteen, 1 * -3 is -3. And we never leave a negative in the denominator. We either put it in front of the fraction or we put it up in the numerator. So -16 thirds or -16 / 3.