1. For Educational Use Only © 2010 5.2 Defining Slope Brian Preston Algebra 1 2009-2010

2. For Educational Use Only © 2010 How steep is this hiking trail? Real World Application

3. For Educational Use Only © 2010 Lesson Objectives 1) Find the slope of a line using two of its points. 2) Use the slope and any point on a line to write an equation of the line.

4. For Educational Use Only © 2010 Review 1) 10 – ( – 7) =17 2) – 3 – 4 =– 7 3) – 5 + 9 =4

5. For Educational Use Only © 2010 -3 -2 -4 -5 -3 -2 -4 -5 1 2 3 4 5 23 4 5 1 x x x x Review

6. For Educational Use Only © 2010 Definition Slope – range of the Y-value range of the X-value Slope – m Rise Run

7. For Educational Use Only © 2010 What is range? range of the Y-value range of the X-value Slope – Range – Highest number minus the Lowest number

8. For Educational Use Only © 2010 PRESTON P Rise Run Rise Run Rise Run Rise Run What does slope mean?

9. For Educational Use Only © 2010 PRESTON P What does slope mean?

10. For Educational Use Only © 2010 4) Yara & Nidal are hiking up a hill. The run for Yara’s step is 32 inches, and the rise is 8 inches. The run for Nidal’s step is 36 inches, and the rise is 9 inches. Find the slope of the lines representing each hikers pathway up the hill. 32 of the Y-value of the X-value H-L range 8 9 36 Real World Application = 9 – 8 36 – 32 = 1 4 slope 8 9 36

11. For Educational Use Only © 2010 5) The coordinate plane below shows the position of a ladder resting against the side of a barn. Find the slope of the ladder. Real World Application

12. For Educational Use Only © 2010 5) The coordinate plane below shows the position of a ladder resting against the side of a barn. Find the slope of the ladder. Real World Application Rise Run = – 6 +2 – 3 =

13. For Educational Use Only © 2010 Definition Slope – range of the Y-value range of the X-value Slope – m Rise Run y 2 – y 1 x 2 – x 1 Slope –

14. For Educational Use Only © 2010 6) Find the slope of the line containing the points P(– 2,4) & Q(5,– 6). Example – 6 – 4 5 – – 2 = = y 2 – y 1 x 2 – x 1 – 10 7 – 24– 6 5 ( ) (x 1,y 1 ) (x 2,y 2 ) 1 2

15. For Educational Use Only © 2010 4 – – 6 ( ) 6) Find the slope of the line containing the points P(– 2,4) & Q(5,– 6). Example – 2 – 5 = = y 2 – y 1 x 2 – x 1 10 – 7 – 24– 6 5 ( ) (x 2,y 2 ) (x 1,y 1 ) 2 1

16. For Educational Use Only © 2010 7) Graph the line containing the point (– 2,3) and having slope m = – 4 +3 – 4 +3 -3 -2 -4 -5 -3 -2 -4 -5 1 2 3 4 5 23 4 5 1 Example (– 2,3) – 4 +3 Always make 3 points

17. For Educational Use Only © 2010 -3 -2 -4 -5 -3 -2 -4 -5 1 2 3 4 5 23 4 5 1 8) Graph the line containing the points (– 3,4) and (1,2). Example (– 3,4) (1,2)

18. For Educational Use Only © 2010 -3 -2 -4 -5 -3 -2 -4 -5 1 2 3 4 5 23 4 5 1 9) Use the Coordinates of point R and Point S to find the slope of the horizontal line shown below. Example 0 Rise Run = = Special line R S +5 ero 0 +5 0

19. For Educational Use Only © 2010 -3 -2 -4 -5 -3 -2 -4 -5 1 2 3 4 5 23 4 5 1 10) Use the Coordinates of Point J and Point K to find the slope of the vertical line shown below. Example – 5 0 Rise Run = = Special line J K – 5 u defined 0

20. For Educational Use Only © 2010 – 3 2 2 Rise = – 3 Run = 2 11) Find the slope. slope = – 3 2 Rise Run = Example

21. For Educational Use Only © 2010 x-int = 3 y-int = – 2 12) Find the slope. slope = 3 2 2 3 Rise Run = -3 -2 -4 -5 -3 -2 -4 -5 1 2 3 4 5 23 4 5 1 – 2 Example +2 +3 3

22. For Educational Use Only © 2010 8 ÷ 0 = Definition Undefined means it doesn’t work, because we could put 0(nothing) in the cup infinite times and still not reach 8 oz. undefined nothing

23. For Educational Use Only © 2010 u defined Key Points & Don’t Forget 1) A negative times a negative is a positive. – 3  – 5 = 15 – 2 0 2) Slope =

24. For Educational Use Only © 2010 pg. 231-232 #’s 11-19 odd, 20-42 even, 45, 47 The Assignment

25. For Educational Use Only © 2010 Please email brianspowerpoints@gmail.com with errors, confusing slides, improvements, complications, or any other comments or questions.brianspowerpoints@gmail.com The template is from www.spiralgraphics.bizwww.spiralgraphics.biz http://www.worldofteaching.comhttp://www.worldofteaching.com is home to over a thousand powerpoints submitted by teachers. This is a completely free site and requires no registration. Please visit and I hope it will help in your teaching. Bibliography