Lesson 1 1 lines

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Lesson 1 1 lines

  1. 1. Section 1.1 Lines<br /><ul><li>Use increments to calculate slopes.
  2. 2. Write an equation and sketch a graph of an equation given different information.
  3. 3. Identify relationships between parallel and perpendicular lines and their slopes.
  4. 4. Use calculator generated linear regression equations to solve problems.</li></li></ul><li>Using increments to find the slope of a line…<br />Δx = x2 – x1<br />“delta x”<br />Now don’t forget…<br /> P1 (x1, y1)<br /> P2 (x2, y2)<br />Δy= y2– y1<br />“delta y”<br />So that means…<br />
  5. 5. Weird <br />but <br />simple…<br />My slope is Undefined<br />Vertical Lines<br />x = “some x value”<br />My slope is a big fat zero.<br />HorizontalLines<br />y = “some y value”<br />
  6. 6. Linear<br />Trinity<br />Slope Forms<br />Point-Slope Form<br />Slope-Intercept Form<br />Standard (General) Form<br />
  7. 7. BIG RULE #1:<br />=<br />are<br />Lines<br />Parallel<br />of <br />Slopes<br />The <br />
  8. 8. BIG RULE #2:<br />Perpendicular Lines<br />of<br />Product<br />The<br />the<br />Slopes<br />…is = -1!<br />
  9. 9. Let’s practice this stuff…<br />Read examples 1 – 7 on pages 1 – 6.<br />Homework:<br />Page 9, Exercises #1, 9, 13, 17, 27, 31, and 35.<br />
  10. 10. Scatter Plot<br />Regression Analysis:<br />the process of finding a curve (regression curve) to fit data.<br />
  11. 11. TI-89 Tip<br />Finding Regression Equation<br />Press Apps<br />6:Data/Matrixeditor<br />3:New<br />For variable enter a single lettered name and enter<br />enter x values in c1 and y values in c2<br />F2:Plot setup<br />F1:Plot type scatter, for x type c1 and for y type c2 then enter<br />Press green diamond F2<br />F2 to zoom<br />A to zoomfit<br />Press Apps<br />6:Data/Matrixeditor<br />1:Current<br />F5:Calc<br />Choose Calculation type 5:LinReg <br />for x type c1 and for y type c2<br />select y1(x) for store RegEq enter<br />Press green diamond F2<br />F2 to zoom<br />A to zoomfit<br />Table 1.1 p. 7<br />
  12. 12. So, what is the population be in 2010?<br />
  13. 13. Let’s try it again…<br />Classwork: <br />Page 10, #45.<br />
  14. 14. Homework:<br />Page 10, #46.<br />

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