1. 3.1 – Graphing Linear Equations

2. Linear equation

3. 3.1– Graphing Linear Equations Linear equation – its graph is a straight line

4. 3.1– Graphing Linear Equations Linear equation – its graph is a straight line  IDENTIFYING LINEAR EQUATIONS

5. 3.1– Graphing Linear Equations Linear equation – its graph is a straight line  IDENTIFYING LINEAR EQUATIONS Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form.

6. 3.1– Graphing Linear Equations Linear equation – its graph is a straight line  IDENTIFYING LINEAR EQUATIONS Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form. *Standard Form

7. 3.1– Graphing Linear Equations Linear equation – its graph is a straight line  IDENTIFYING LINEAR EQUATIONS Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form. *Standard Form: Ax + By = C

8. 3.1– Graphing Linear Equations Linear equation – its graph is a straight line  IDENTIFYING LINEAR EQUATIONS Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form. *Standard Form: Ax + By = C a. y = 5 – 2x

9. 3.1– Graphing Linear Equations Linear equation – its graph is a straight line  IDENTIFYING LINEAR EQUATIONS Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form. *Standard Form: Ax + By = C a. y = 5 – 2x +2x +2x

10. 3.1– Graphing Linear Equations Linear equation – its graph is a straight line  IDENTIFYING LINEAR EQUATIONS Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form. *Standard Form: Ax + By = C a. y = 5 – 2x +2x +2x 2x + y = 5

11. 3.1– Graphing Linear Equations Linear equation – its graph is a straight line  IDENTIFYING LINEAR EQUATIONS Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form. *Standard Form: Ax + By = C a. y = 5 – 2x b. 2xy – 5y = 6 +2x +2x 2x + y = 5

12. 3.1– Graphing Linear Equations Linear equation – its graph is a straight line  IDENTIFYING LINEAR EQUATIONS Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form. *Standard Form: Ax + By = C a. y = 5 – 2x b. 2xy – 5y = 6 +2x +2x 2x + y = 5

13. 3.1– Graphing Linear Equations Linear equation – its graph is a straight line  IDENTIFYING LINEAR EQUATIONS Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form. *Standard Form: Ax + By = C a. y = 5 – 2x b. 2xy – 5y = 6 +2x +2x 2x + y = 5 c. y = 9

14. 3.1– Graphing Linear Equations Linear equation – its graph is a straight line  IDENTIFYING LINEAR EQUATIONS Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form. *Standard Form: Ax + By = C a. y = 5 – 2x b. 2xy – 5y = 6 +2x +2x 2x + y = 5 c. y = 9 d. y = 4x 2 – 9

15. 3.1– Graphing Linear Equations Linear equation – its graph is a straight line  IDENTIFYING LINEAR EQUATIONS Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form. *Standard Form: Ax + By = C a. y = 5 – 2x b. 2xy – 5y = 6 +2x +2x 2x + y = 5 c. y = 9 d. y = 4x 2 – 9

16.  GRAPHING LINEAR EQUATIONS

17. Ex. 2 Graph the following equations.

18.  GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations. a. y = 2x – 3

19.  GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations. a. y = 2x – 3 x2x – 3y(x, y)

20.  GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations. a. y = 2x – 3 x2x – 3y(x, y) 2(-1) – 3-5(-1, -5)

21.  GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations. a. y = 2x – 3 x2x – 3y(x, y) 2(-1) – 3-5(-1, -5) 02(0) – 3-3(0, -3)

22.  GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations. a. y = 2x – 3 x2x – 3y(x, y) 2(-1) – 3-5(-1, -5) 02(0) – 3-3(0, -3) 12(1) – 3(1, -1)

23.  GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations. a. y = 2x – 3 x2x – 3y(x, y) 2(-1) – 3-5(-1, -5) 02(0) – 3-3(0, -3) 12(1) – 3(1, -1)

24.  GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations. a. y = 2x – 3 x2x – 3y(x, y) 2(-1) – 3-5(-1, -5) 02(0) – 3-3(0, -3) 12(1) – 3(1, -1)

25.  GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations. a. y = 2x – 3 x2x – 3y(x, y) 2(-1) – 3-5(-1, -5) 02(0) – 3-3(0, -3) 12(1) – 3(1, -1)

26.  GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations. a. y = 2x – 3 x2x – 3y(x, y) 2(-1) – 3-5(-1, -5) 02(0) – 3-3(0, -3) 12(1) – 3(1, -1)

27.  GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations. a. y = 2x – 3 x2x – 3y(x, y) 2(-1) – 3-5(-1, -5) 02(0) – 3-3(0, -3) 12(1) – 3(1, -1)

28.  GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations. a. y = 2x – 3 x2x – 3y(x, y) 2(-1) – 3-5(-1, -5) 02(0) – 3-3(0, -3) 12(1) – 3(1, -1)

29.  GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations. a. y = 2x – 3 x2x – 3y(x, y) 2(-1) – 3-5(-1, -5) 02(0) – 3-3(0, -3) 12(1) – 3(1, -1)

30.  GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations. a. y = 2x – 3 x2x – 3y(x, y) 2(-1) – 3-5(-1, -5) 02(0) – 3-3(0, -3) 12(1) – 3(1, -1)

31.  GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations. a. y = 2x – 3 x2x – 3y(x, y) 2(-1) – 3-5(-1, -5) 02(0) – 3-3(0, -3) 12(1) – 3(1, -1)

32. b. x + 2y = 6

33. *Find x and y-intercepts!

34. b. x + 2y = 6 *Find x and y-intercepts! x-int:

35. b. x + 2y = 6 *Find x and y-intercepts! x-int: x + 2(0) = 6

36. b. x + 2y = 6 *Find x and y-intercepts! x-int: x + 2(0) = 6

37. b. x + 2y = 6 *Find x and y-intercepts! x-int: x + 2(0) = 6 x + 0 = 6

38. b. x + 2y = 6 *Find x and y-intercepts! x-int: x + 2(0) = 6 x = 6

39. b. x + 2y = 6 *Find x and y-intercepts! x-int: x + 2(0) = 6 x = 6 (6,0)

40. b. x + 2y = 6 *Find x and y-intercepts! x-int: x + 2(0) = 6 x = 6 (6,0) y-int:

41. b. x + 2y = 6 *Find x and y-intercepts! x-int: x + 2(0) = 6 x = 6 (6,0) y-int: (0) + 2y = 6

42. b. x + 2y = 6 *Find x and y-intercepts! x-int: x + 2(0) = 6 x = 6 (6,0) y-int: (0) + 2y = 6 2y = 6

43. b. x + 2y = 6 *Find x and y-intercepts! x-int: x + 2(0) = 6 x = 6 (6,0) y-int: (0) + 2y = 6 2y = 6 2 2

44. b. x + 2y = 6 *Find x and y-intercepts! x-int: x + 2(0) = 6 x = 6 (6,0) y-int: (0) + 2y = 6 2y = 6 2 2 y = 3

45. b. x + 2y = 6 *Find x and y-intercepts! x-int: x + 2(0) = 6 x = 6 (6,0) y-int: (0) + 2y = 6 2y = 6 2 2 y = 3 (0,3)

46. b. x + 2y = 6 *Find x and y-intercepts! x-int: x + 2(0) = 6 x = 6 (6,0) y-int: (0) + 2y = 6 2y = 6 2 2 y = 3 (0,3)

47. b. x + 2y = 6 *Find x and y-intercepts! x-int: x + 2(0) = 6 x = 6 (6,0) y-int: (0) + 2y = 6 2y = 6 2 2 y = 3 (0,3)

48. b. x + 2y = 6 *Find x and y-intercepts! x-int: x + 2(0) = 6 x = 6 (6,0) y-int: (0) + 2y = 6 2y = 6 2 2 y = 3 (0,3)

49. b. x + 2y = 6 *Find x and y-intercepts! x-int: x + 2(0) = 6 x = 6 (6,0) y-int: (0) + 2y = 6 2y = 6 2 2 y = 3 (0,3)

50. b. x + 2y = 6 *Find x and y-intercepts! x-int: x + 2(0) = 6 x = 6 (6,0) y-int: (0) + 2y = 6 2y = 6 2 2 y = 3 (0,3)

51. b. x + 2y = 6 *Find x and y-intercepts! x-int: x + 2(0) = 6 x = 6 (6,0) y-int: (0) + 2y = 6 2y = 6 2 2 y = 3 (0,3)

52.  GRAPHS AS FUNCTIONS

53. Ex. 3 Determine whether or not each graph is a function.

54.  GRAPHS AS FUNCTIONS Ex. 3 Determine whether or not each graph is a function. a.

55.  GRAPHS AS FUNCTIONS Ex. 3 Determine whether or not each graph is a function. *Vertical Line Test – If you can draw vertical line anywhere on graph & it crosses more than once, then it’s not a function! a.

56.  GRAPHS AS FUNCTIONS Ex. 3 Determine whether or not each graph is a function. *Vertical Line Test – If you can draw vertical line anywhere on graph & it crosses more than once, then it’s not a function! a.

57.  GRAPHS AS FUNCTIONS Ex. 3 Determine whether or not each graph is a function. *Vertical Line Test – If you can draw vertical line anywhere on graph & it crosses more than once, then it’s not a function! a.

58.  GRAPHS AS FUNCTIONS Ex. 3 Determine whether or not each graph is a function. *Vertical Line Test – If you can draw vertical line anywhere on graph & it crosses more than once, then it’s not a function! a.

59.  GRAPHS AS FUNCTIONS Ex. 3 Determine whether or not each graph is a function. *Vertical Line Test – If you can draw vertical line anywhere on graph & it crosses more than once, then it’s not a function! a. FUNCTION

60. b.

61. b. FUNCTION

62. b. FUNCTION c.

63. b. FUNCTION c. NOT A FUNCTION