Algebra Slides to teach Slope

1. Algebra 1 Chapter 5

2. Slope Slope is represented by the letter m Rise Run Slope =

3. Where can slope be found in the world?

4. Construction

5. Recreation

6. Sports

7. Engineering

8. Quick Reminder Lines rising from left to right have a positive slope

9. Lines falling from left to right have a negative slope

10. 0 slope

11. No Slope= undefined

12. Finding Slope by counting squares run rise Rise= 3 Run= 2 3 2 Slope=

13. Practice What is the slope? Find the slope by counting rise over run.

14. Answer to practice run rise 3 1 Slope= or 3

15. More Practice What is the slope? Count rise over run.

16. Answer 5 4 Slope= -

17. Calculating slope Requires two points (x ,y ) (x ,y ) m= 2 2 1 1 y - y x - x 2 1 2 1

18. Example (3, -2) (1, -4) y -y (x ,y ) (x ,y ) -4-1 1-3 -5 -2 5 2 1 2 1 1 2 2 = = x - x (3 , -2) (1 , -4) 1 2

19. Slope Intercept Form y= mx+b m= slope b= y intercept slope y intercept

20. y intercept The y intercept is where the line crosses the y axis. y axis y intercept y intercept = 2 x axis

21. y intercept y intercepts can be positive or negative numbers y axis x axis y intercept= +1 y axis x axis y intercept= -2

23. Graphing Slope Intercept Form Step one: graph y intercept on y axis Step two: from that point use slope to graph second point Step three: connect the points You have now graphed a line using slope-intercept form.

26. Point-slope Form y- y = m(x-x ) 1 1

27. Point slope form requirements You must have one point and the slope of the line in order to write in point-slope form. You then substitute the slope in for the letter m and the numbers from the point in there correct spot.

29. Prentice Hall Algebra I Volume 1 Teacher’s Edition Pearson Education Inc., 2011 (p.311). Prentice Hall Algebra I Volume I Teacher’s Edition Teacher Resources Chapter 5, Pearson Education Inc., 2011 (Practice Forms) This citation is for slides (8-28). I