Presentation is loading. Please wait.

Presentation is loading. Please wait.

3.1 – Graphing Linear Equations. Linear equation.

Similar presentations


Presentation on theme: "3.1 – Graphing Linear Equations. Linear equation."— Presentation transcript:

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


Download ppt "3.1 – Graphing Linear Equations. Linear equation."

Similar presentations


Ads by Google