The document provides instructions on calculating slopes of lines and identifying relationships between parallel and perpendicular lines. It discusses using increments to find the slope of a line using the change in x and y between two points. It also discusses the different forms of linear equations (point-slope, slope-intercept, and standard form) and defines the key rules that parallel lines have the same slope and perpendicular lines have slopes that multiply to -1. The document demonstrates how to perform linear regression on a TI-89 calculator to generate a linear equation from a scatter plot. It provides example problems and homework questions for students to practice these skills.

1. Section 1.1 LinesUse increments to calculate slopes.

2. Write an equation and sketch a graph of an equation given different information.

3. Identify relationships between parallel and perpendicular lines and their slopes.

4. Use calculator generated linear regression equations to solve problems.Using increments to find the slope of a line…Δx = x2 – x1“delta x”Now don’t forget… P1 (x1, y1) P2 (x2, y2)Δy= y2– y1“delta y”So that means…

5. Weird but simple…My slope is UndefinedVertical Linesx = “some x value”My slope is a big fat zero.HorizontalLinesy = “some y value”

6. LinearTrinitySlope FormsPoint-Slope FormSlope-Intercept FormStandard (General) Form

7. BIG RULE #1:=areLinesParallelof SlopesThe

8. BIG RULE #2:Perpendicular LinesofProductThetheSlopes…is = -1!

9. Let’s practice this stuff…Read examples 1 – 7 on pages 1 – 6.Homework:Page 9, Exercises #1, 9, 13, 17, 27, 31, and 35.

10. Scatter PlotRegression Analysis:the process of finding a curve (regression curve) to fit data.

11. TI-89 TipFinding Regression EquationPress Apps6:Data/Matrixeditor3:NewFor variable enter a single lettered name and enterenter x values in c1 and y values in c2F2:Plot setupF1:Plot type scatter, for x type c1 and for y type c2 then enterPress green diamond F2F2 to zoomA to zoomfitPress Apps6:Data/Matrixeditor1:CurrentF5:CalcChoose Calculation type 5:LinReg for x type c1 and for y type c2select y1(x) for store RegEq enterPress green diamond F2F2 to zoomA to zoomfitTable 1.1 p. 7

12. So, what is the population be in 2010?

13. Let’s try it again…Classwork: Page 10, #45.

14. Homework:Page 10, #46.