1. Chapter 4 Notes Graphing Linear Equations and Functions

2. 4.1 Coordinates and Scatter Plots Objectives: -Plot points in a coordinate plane -Draw scatter plots and make predictions about the data

3. Terms Coordinate Plane Ordered pair X-coordinate Y-coordinate

4. Labeling the Coordinate plane

5. Plotting Points Plot the following points a.(0,3) b.(-2, -1) c.(2,0) d.(4,5)

6. Locating Quadrants Find the quadrant of the following points (0,3) (-2, -1) (2,0) (4,5)

7. Making a Scatter Plot

8. 4.2 Graphing Linear Equations Part1 Objectives: -Make a list of values for a given equation

9. Terms Solution of an Equation Function Form

10. Rewrite the equations in function form (y=mx+b) -3x + y = 12 2x + 3y = 6

11. Function Form Rewrite the equations in function form (y=mx+b) -x – y = 5 5x + 5y = 20

12. T-Charts Rules for t-Charts  Equations must be in function form  Choose numbers for x  Substitute them in for x  Solve for y  Repeat to get a total of 3 values for your function

13. T-Charts Make a table of values(T-Chart) for each function Y = -2x – 6y = 3(6x – 1) XY YX

14. T-Charts Make a table of values(T-Chart) for each function Y = 3x - 5y = 7 – 4x XY YX

15. Special Cases When the equation has an X but no Y Ex: x = 5 When the equation has a y but no x Ex: y = 8

16. 4.2 Graphing Linear Equations Part2 Objectives: -Graph linear equations and make t- charts

17. T-Charts Rules for t-Charts  Equations must be in function form  Choose numbers for x  Substitute them in for x  Solve for y  Graph the values

18. Graphing Y = 4x – 2 y = 2(x – 1) XYYX

19. Graphing 2x + 2y = 10 5x – 7 = 5y XYYX

20. 4.3 Quick Graphs Using Intercepts Objectives: -Find the x and y intercepts -graph a linear equation using the x and y intercepts

21. Terms X- intercept Y- intercept

22. Finding the x-intercept X-intercepts always have ordered pairs in the form (#,0) To find the x-intercept you plug 0 in for y and solve for x.

23. Finding the y-intercept y-intercepts always have ordered pairs in the form (0,#) To find the y-intercept you plug 0 in for x and solve for y.

24. Practice Given the x and y intercepts graph the equation x-intercept = 2; x-intercept = -4; y-intercepts = -3y-intercepts = 5

25. Finding x and y -intercept 5x + 4y = -20 6x – y = 6

26. Finding x and y -intercept -3x + y = -6 3x – y = -2

27. 4.4 Slope Objectives: -Find the slope of a line given 2 pts

28. Terms Slope Rate of change

29. Finding Slope form a Graph A B

30. Finding Slope with a Formula Slope = change in y change in x

31. Special cases #/0 means slope = undefined (U) 0/# means slope = 0

32. Practice (2,3)(4,-5) (1,-5)(-5,2) (3,6)(3,0) (0,5)(7,5)

33. Practice (4,1)(6,-3) (2,2)(-3,5) (-6,-1)(-6,-4) (0,-10)(-4,0)

34. White Board Practice One person from each row get white boards and accessories

35. 4.6 Quick Graphs Using Slope Intercept Objectives: -Graph a linear equation in slope intercept form

36. Terms Slope-intercept form Parallel lines Perpendicular Lines

37. Locating slope and intercept Given an equation in y=mx+b form m=slope (pattern) b= y-intercept (start pt.) Slope must be a fraction !!!

38. How it works 1 st you start on the y axis at the b value 2 nd you use your slope to rise and run from the b value

39. Practice Graph each of the following and tell the slope and intercept Y = 2x – 3 Y= -3x – 2 Y= ½ x + 5

40. Practice Graph each of the following and tell the slope and intercept Y= 2/3x – 1 Y= 2x 2y + 3x = 6