1. Chapter 1.1 Lines

2. Objectives Increments Slope Parallel and Perpendicular Equations Applications

3. Learning Target 80% of the students will be able to find the equation of a line, given two points on the line.

4. Standard G-GPE.5Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

5. Calculus Calculus was invented to help physicists understand motion. Calculus relates rate of change of a quantity to a graph of the quantity. Explaining that relationship is the goal of this course. We will start by examining slopes.

6. Increments Particle in motion: Changes in position are increments. Subtract the coordinates of its starting point from the coordinates of its ending point.

7. Definition

8. Example 1: Finding Increments

9. Exercise 1

10. Slope of a Line

11. Parallel Lines  11

12. Perpendicular Lines

13. Vertical Lines

14. Horizontal Lines

15. Exercise 2

16. Point-Slope Form

17. Exercise 3

18. Slope-Intercept Form

19. X -Intercept The x  coordinate of the point where a nonhorizontal line crosses the x  axis is the x  intercept.

20. Exercise 4

21. General Form

22. Graphing a General Linear Equation

23. To use a graphing Calculator, Transform the linear equation from general form to slope-intercept form Enter it into the equation editor of the graphing calculator

24. Exercise 5

25. Writing Equations

27. Exercise 6

28. Determining Linear Functions

29. Exercise 7 Find the linear function that produced the following table: x f(x)f(x) 03 39 615

30. Conversions

31. Exercise 8

32. Regression Analysis

33. Regression Analysis – Example Enter the data Generate a scatter plot Perform the regression analysis

34. Regression Analysis – Continued Graph the regression curve Predict the population for 2010

35. Homework Page 9: 1-21 every other odd (EOO, 1,5,9,etc.), 22, 23, 25-37odds, 38-41 all, 43, 44, 47-52 all, 54, 55, 57