CO2 slope of the line mathematics 8.pptx

slope

1. M ATHEMATICS 8 Quarter 2 JAY C. LAGMAN

2. Dear Lord, As we gather here for our math class today, We seek your guidance and blessings along the way. Grant us clarity of mind and a thirst for knowledge, Help us understand the concepts and solve problems with courage. Amen.

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4. 1 2 3 4 5 6 7 8 -7 -6 -5 -4 -3 -2 -1 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 ILLUSTRATING THE SLOPE OF THE LINE

5. OBJECTIVES gg 1. describe the slope of a line; 2. determine the slope of a line given two points; and 3. reflect on the relevance of the slope of a line in real-life setting.

6. THE SLOPE OF THE LINE

7. The slope , represented by 𝒎, is defined as the ratio of the vertical change between two points to the horizontal change between the same two points. Slope

8. The vertical change is referred to as the rise and the horizontal change as the run. In symbol, 𝑚 =  

9. 1 2 3 4 5 6 7 8 9 7 6 5 4 3 2 1

10. 1 2 3 4 5 6 7 8 9 7 6 5 4 3 2 1

11. 1 2 3 4 5 6 7 8 9 7 6 5 4 3 2 1

12. 1 2 3 4 5 6 7 8 9 7 6 5 4 3 2 1

13. 1 2 3 4 5 6 7 8 9 7 6 5 4 3 2 1

14. Finding the Slope of a Line Given an Equation Given the equation of the line written in standard form (𝐴𝑥 + 𝐵𝑦 = 𝐶), the slope is the ratio of the additive inverse of the coefficient 𝐴 to coefficient 𝐵. In symbol, 𝑚 =  

15. Example 1 Find the slope of the equation of the line 4𝑥 − 𝑦 = 19.

16. Example 2 Find the slope of the equation of the line 3𝑦 = 12 + 5𝑥.

17. Example 3 In physics experiment where the position of a projectile is given by the equation 2𝑥 −3𝑦 =6, what is the slope of the projectile?

18. Application Eboy and Mak , two Dumagat friends, are just walking going home from school and their home is up on the mountain. The two friends know two paths going home.

19. Application The first path to home has a linear equation of 3x = 5 + 2y and the second path has a linear equation of 2x = 5y + 2. Which path Eboy and Mak should take to walk home easily, if the two paths are the same distance from their home?

20. 1 2 3 4 5 6 7 8 -7 -6 -5 -4 -3 -2 -1 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 GROUP ACTIVITY

21. Find the slope of the following linear equations. 2𝑥 − 3𝑦 = 6 5𝑥 = 8 + 5𝑦 7 − 4𝑦 − 20𝑥 = 0 −9𝑥 = −3𝑦 15 = 𝑥 + 11 Quiz

22. 1 2 3 4 5 6 7 8 -7 -6 -5 -4 -3 -2 -1 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 CONGRATULATIONS!

23. ASSIGNMENT Answer Practice and Application (Test I, 1 and 2) on page 140 of your Exploring Math Textbook.

24. 1 2 3 4 5 6 7 8 -7 -6 -5 -4 -3 -2 -1 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 THANK YOU!

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26. 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 -7 -6 -5 -4 -3 -2 -1 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 L A E R N

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