Representing Lenear Functions

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Presentation transcript:

Representing Lenear Functions Lesson 8.3 Page 410 Representing Lenear Functions (Solving and graphing Linear Equations) You need textbook, paper, graph paper, pencil and ruler (straight edge)

x Rule y (x,y) -1 1 The textbook says choose 4 values for X Equation x Rule y (x,y) Look at chart on page 410 we will not rewrite the last (x,y) -1 1 The textbook says choose 4 values for X We will only choose 3

y = mx + b Linear means straight

Equation x Rule y (x,y) y = x + 2 -1 1

Equation x Rule y (x,y) y = 3x - 1 -1 1

Equation x Rule y (x,y) y = -2x + 5 -1 1

Questions?

1. y = x + 7 2. y = 2x - 3 3. y = x + 5 4. y = -4x 5. y = 3x + 6 Using equations 1- 6 on Page 413 Make a "t" table Use x = -1 x = 0 and x = 1 Solve equation (3 times) Graph 1. y = x + 7 2. y = 2x - 3 3. y = x + 5 4. y = -4x 5. y = 3x + 6 6. -x + y = 7

Assignment Page 413 You will..... Make a chart using -1, 0 and 1 for x solving for y Graph your solutions Connect the points with a linear line Problems 1 - 6 and 16 - 23

Page 413 1. y = x + 7 y x

Page 413 1. y = x + 7 y x

Page 413 1. y = x + 7 y x

Page 413 1. y = x + 7 y x

Page 413 2. y = 2x - 3 y x

Page 413 2. y = 2x - 3 y x

Page 413 2. y = 2x - 3 y x

Page 413 2. y = 2x - 3 y x

Page 413 3. y = x + 5 y x

Page 413 3. y = x + 5 y x

Page 413 4. y = -4x y x

Page 413 4. y = -4x y x

Page 413 4. y = -4x y x

Page 413 4. y = -4x y x

Page 413 5. y = 3x + 6 y x

Page 413 5. y = 3x + 6 y x

Page 413 5. y = 3x + 6 y x

Page 413 5. y = 3x + 6 y x

Page 413 6. -x + y = 7 y x

We have completed 1 - 6 Solving and Graphing Functions Next, Solve and Graph Problems 17, 19, 21 and 23 Page 413

X Rule / Equation y (x,y)

X Rule / Equation y (x,y)

X Rule / Equation y (x,y)

X Rule / Equation y (x,y)

Page 412 Example 3 You can also solve the equation y = mx + b by finding the x intercept and the y intercept. Let x = 0 and solve Let y = 0 and solve

x y -2 (0) + y = 4 - 2x + 0 = 4 - 2x + y = 4 Let x = 0 and solve Write the order pair Let y = 0 and solve x y -2 (0) + y = 4 - 2x + 0 = 4

Lets do another one x y y = 0 - 4 0 = x - y y = x - 4

y = x - 4 x y Y X

y = -4x Y X

Questions?

Assignment Page 413 Problems 8 - 11 and 26 - 33 Solve using x = 0 and y = 0 Graph each problem

Page 414 x Rule/Equation y (x,y) Y X

Page 414 x Rule/Equation y (x,y) Y X

Page 414 x Rule/Equation y (x,y) Y X

Page 414 x Rule/Equation y (x,y) Y X