This document provides an overview of slope and how it is calculated and represented in algebra. It defines slope as rise over run and shows how to calculate it by counting squares between two points on a graph. Positive and negative slopes are introduced, as well as the slope-intercept form of a line, y=mx+b, where m is the slope and b is the y-intercept. Examples are given of calculating slope from points and graphing lines in slope-intercept form. Requirements for using the point-slope form, y-y1=m(x-x1), are also outlined.

1. Algebra 1Chapter 5

2. SlopeSlope is represented by the letter mRiseRunSlope =

3. Where can slope be found in the world?

4. Construction

5. Recreation

6. Sports

7. Engineering

8. Quick ReminderLines 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 squaresrunriseRise= 3Run= 232Slope=

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

14. Answer to practicerunrise31Slope=or 3

15. More PracticeWhat is the slope? Count rise over run.

16. Answer54Slope=-

17. Calculating slopeRequires two points (x ,y ) (x ,y )m=2211y - y x - x 2121

18. Example(3, -2)(1, -4)y -y(x ,y )(x ,y )-4-11-3-5-252121122==x - x(3 , -2)(1 , -4)12

19. Slope Intercept Formy= mx+bm= slopeb= y intercept slope y intercept

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

21. y intercepty intercepts can be positiveor negative numbers y axisx axisy intercept= +1y axisx axisy intercept= -2

23. Graphing Slope Intercept FormStep one: graph y intercept on y axisStep two: from that point use slope to graph second pointStep three: connect the pointsYou have now graphed a line using slope-intercept form.

26. Point-slope Formy- y = m(x-x )11

27. Point slope form requirementsYou 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