2. SWBAT… Write lines in slope-intercept form Tues, 1/19/10 Agenda 1.WU (5 min) 2.Graphing Calculator Activity (30 min) 3.Discussion (15 min) 4.Exit slip (5 min) WU: Make the below corrections to the study guide: #30: B. (7/4, 0), (0, -7/5) #35: Change question: y = 3x + 2 Complete Study Guide!

3. #2A) What conclusion can you make about the y- intercept (b) and and where it crosses the y-axis? What ever the value of b is, that is where the line will cross the y-axis. #2B) How did the graph of y = x + 1 transform from the parent function y =x? The line shifted up one unit.

4. What insight did you gain from this graphing calculator activity (4 th period) 1.That you can graph a line on a calculator and the calculator shows you the line 2.The m is always in front of the x 3.Step 1: First you plot the y-intercept (b) 4.Step 2: Then you plot m from where you left off 5.The y-intercept (b) is where b crosses the y-axis

5. What insight did you gain from this graphing calculator activity (2 nd period) 1.How to use a graphing calculator 2.Y = mx + b, m is the number in front of x 3. b is called the y-intercept 4.Step 1: You use b to plot your first point 5.Step 2: You then plot the slope from the y-intercept

6. What insight did you gain from this graphing calculator activity (6th period) 1.Given y = mx + b, m is the number in front of x 2.Calculators can graph lines 3.b is the y-intercept 4.Step 1: First you plot the y-intercept onto the graph 5.Step 2: You then plot the slope from where you left off

7. SWBAT… Write lines in slope-intercept form Wed, 1/20/10 Agenda 1.Warm-up (5 min) 2.Notes on slope intercept – 5 examples (25 min) 3.Work on hw#3 (15 min) WARM-UP What is the slope and y-intercept of each equation: 1.y = 4x + 2 2.y = -x – 2 3.y = 3x 4.y = -5 HW#3: Writing equations in slope-intercept form and COMPLETE STUDY GUIDE!!

8. Conclusion “I” from TI-83 Activity: Graph #4 rises and graph #9 falls. This is because the slope of #4 is positive and the slope of #9 is negative. The graph of #4 crosses on the negative side of the y-axis and the graph of #9 crosses on the positive side of the y-axis. This is because #4 has a y-intercept of -2 and #9 has a y- intercept of 1.

9. Slope-intercept form: What is the slope? ____________ Now look at the equation below…… What is the y-intercept? ____________

10. Given y = 4x + 2, what is the slope and the y-intercept? m = 4 b = 2

11. Given y = -x – 2, what is the slope and the y-intercept? m = -1 b = -2

12. Given y = 3x, what is the slope and the y-intercept? m = 3 b = 0

13. Given y = -5, what is the slope and the y-intercept? m = 0 b = -5

14. y = mx+ b is an equation that defines a line A line has two characteristics 1. Slope 2. Points that fall on the line

15. Converting linear equations into Slope- Intercept Form 5 Examples

16. Slope intercept form is: y = mx + b Our main goal is to get the y alone on one side of the equation

17. Example 1 - convert into slope-intercept form (divide both sides by 2 to get y alone) (now simplify all fractions) 21 Slope (m) = 2 y-intercept (b) = 1

18. (divide both sides by 5 to get y alone) (now simplify all fractions) y = 2x + 3 BRAVO!! Slope (m) = 2 y-intercept (b) = 3 5y = 10x + 15 *** Your turn – Example 2 – convert into slope-intercept form *** 5 5 5 23

19. *** Your turn – Example 3 – convert into slope-intercept form *** -3y = -9x – 12 Step 1: divide both sides by -3 to get y alone Step 2: Simplify all fractions Step 3: Write your equation in y = mx + b Slope (m) = y-intercept (b) =

20. *** Check Your Answer *** (divide both sides by -3 to get y alone) (now simplify all fractions) y = 3x + 4 -3y = -9x – 12 -3 -3 -3 Slope (m) = 3 y-intercept (b) = 4

21. 21x – 7y = 14 (subtract both sides by 21x) -7y = -21x + 14 (divide both sides by -7) y = 3x – 2 (simplify all fractions) Slope (m) = 3 y-intercept (b) = -2 Example 4 - convert into slope-intercept form -21x -7 -7 -7 3 2

22. 2y + 26 = -6x Step 1: Subtract both sides by 26 Step 2: Divide both sides by 2 to get y by itself Step 3: Simplify all fractions Slope (m) = y-intercept (b) = Example 5 - convert into slope-intercept form

23. 2y + 26 = -6x (subtract both sides by 26) 2y = -6x – 26 (now divide both sides by 2 y = -3x – 13 (simplify all fractions) *** Check Your Answer *** Slope (m) = -3 y-intercept (b) = -13

24. HW#3 Q 1 – 9: Similar to WU Q 10 – 15: What we did today (solve for y) Question 17 – 19: First find slope from the two points (using rise/run), then find the b (where the line crosses the y-axis.)

25. Fri, 2/22/10 http://nlvm.usu.edu/en/nav/frames _asid_332_g_4_t_2.html?from=ca tegory_g_4_t_2.html

26. SWBAT… Write lines in slope-intercept form Thursday, 1/21/10 Agenda 1.Warm-up (2 min) 2.Review hw#3 (10 min) 3.Brain Pop video & quiz (8 min) 4.Review for test (30 min) WARM-UP 1. Take out hw#3 2. Take out study guide STUDY FOR FINAL!!!

27. Red Cards = #1 Black Cards: Insert a 1 in front of number. For example, a black 2 = 12.