Lesson 8. 3 Page 410 Representing Lenear Functions (Solving and graphing Linear Equations) You need textbook, paper, graph paper, pencil and ruler (straight edge)
Equatio n x Rule -1 0 1 y (x, y) Look at chart on page 410 we will not rewrite the last (x, y) The textbook says choose 4 values for X We will only choose 3
y = mx + b Linear means straight
Equatio n x Rule y=x+2 -1 0 1 y (x, y)
Equatio n x Rule y = 3 x - 1 -1 0 1 y (x, y)
Equatio n x Rule y = -2 x + 5 -1 0 1 y (x, y)
Questions?
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. 2. 3. 4. 5. 6. y=x+7 y = 2 x - 3 y=x+5 y = -4 x y = 3 x + 6 -x + y = 7
Assignment Page 413 You will. . . Problems 1 - 6 and 16 Make a chart using -1, 0 and 1 for x solving for y 23 Graph your solutions Connect the points with a linear line
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 = 2 x - 3 x y
Page 413 2. y = 2 x - 3 x y
Page 413 2. y = 2 x - 3 x y
Page 413 2. y = 2 x - 3 x y
Page 413 3. y = x + 5 x y
Page 413 3. y = x + 5 x y
Page 413 4. y = -4 x x y
Page 413 4. y = -4 x x y
Page 413 4. y = -4 x x y
Page 413 4. y = -4 x x y
Page 413 5. y = 3 x + 6 x y
Page 413 5. y = 3 x + 6 x y
Page 413 5. y = 3 x + 6 x y
Page 413 5. y = 3 x + 6 x y
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
- 2 x + y = 4 Let x = 0 and solve Write the order pair x y 0 -2 (0) + y = 4 0 Let y = 0 and solve Write the order pair - 2 x + 0 = 4
Lets do another one y=x-4 x y y=0 -4 0=x-y
y=x-4 Y x y X
y = -4 x Y X
Questions?
Assignment Page 413 Problems 8 - 11 and 26 - 33 Solve using x = 0 and y = 0 Graph each problem