ACTIVITY #1:
View the video on slopes of lines. Go to the following web site to view the slope video. The slope of a line is equal to the rise over the run. You can find the slope of a line by constructing a right triangle on the grid with one of the side being on the line. Look at the picture from your text of the line and the grid. Notice how the triangle was constructed and how we can use the grid to count the rise and the run.
The rise is 2 units and the run is 3 units. The slope of this line is 2/3.
Find the slope of the following lines from your text using the grid.
1.) 
2.) 
The slope of a line is defined as the change in the vertical direction over the change in the horizontal direction. Rise over run. If we know two points that are on the line we can also find its slope. Here are two points on a line ( 1, 3 ) and ( 5, 8 ) . Find the difference of the y's and the x's. The difference of the y's over the difference of the x's is the slope. The rise is 8 - 5 = 3 and the run is 5 - 1 = 4. So the slope of the line is 3 over 4. This is written as a fraction 3/4 . To practice finding the slope of a line click on the link slope and y-intercept of a line. Find the slope of the following lines given only two points on the line.
3.) ( 3, 4 ) ( 8, 6 ) 4.) ( -2, -4) ( 3, 5 ) 5.) ( 2, 5 ) ( -3, 8 )
Check your answers with the answers on the answer page of this project. After you correct your work return to this page and complete the following assignment from your text.
Go to the "On Your Own" exercise on page 217 of your text and complete problems #1-16. Check your answers! If you need extra practice see your instructor for worksheet 5-1.