This week in math 10 I learned how to use slope to determine a line segment and how to use a line segment to determine slope. 

 

Example 1: 

The slope of a line is rise/run, so in order to figure out the slope of this line is to figure out how many squares it is between the base and top of the line segment. The answer would be 5, which would mean our rise is 5. Now we need to figure out how many squares of width the line is, which would be 6. So, our rise is 5 and our run is 6 which would mean that we now know the slope because slope is rise/run we now know that the slope of this line segment is 5/6. 

Example 2: 

For this example, we are given the slope and a set of coordinates. Now we must use the coordinates and slope to determine the other coordinates of the line segment. Our slope is –2/3 and our coordinates are (-1,2). We will begin by plotting (-1,2) on our graph and then rising by 2 and running to the left because it is –3, we can repeat that as many more times as necessary, in this case we’ll do it twice. Now we can “reverse” our rising and running to be going down 2 as the negative can apply to both the rise and run. Because we’re going down 2, we will go right 3, leaving us with the coordinate (2,0) now by repeating these two more times we will have the coordinates (5, -2) and (8, -4). Now we know how to create a line segment using a slope and coordinates.