y = -2x + 1 x y xy -2 0 1 2 -2(-2) + 1= 5 -2(0) + 1 -2(1) + 1 -2(2) + 1 -2(-1) + 1 ordered pair (-2,...

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y = -2x + 1 x y x y -2 -1 0 1 2 -2(-2) + 1 = 5 -2(0) + 1 -2(1) + 1 -2(2) + 1 -2(-1) + 1 Ordered Pair (-2, 5) (-1, 3) (0, 1) (1, -1) (2, -3) Where is the “y- intercept”? (0 , 1) x-y chart and slope/y-intercept: -2 1 = 3 = 1 = -1 = -3 Warm-Up Warm-Up

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Page 1: Y = -2x + 1 x y xy -2 0 1 2 -2(-2) + 1= 5 -2(0) + 1 -2(1) + 1 -2(2) + 1 -2(-1) + 1 Ordered Pair (-2, 5) (-1, 3) (0, 1) (1, -1) (2, -3) Where is the “y-intercept”?

y = -2x + 1

x

y

x y

-2-1 0 1 2

-2(-2) + 1 = 5

-2(0) + 1-2(1) + 1-2(2) + 1

-2(-1) + 1

Ordered Pair

(-2, 5)

(-1, 3)

(0, 1)

(1, -1)

(2, -3)

Where is the “y-intercept”? (0 , 1)

x-y chart and slope/y-intercept:

-2

1

= 3= 1= -1= -3

Warm-UpWarm-Up

Page 2: Y = -2x + 1 x y xy -2 0 1 2 -2(-2) + 1= 5 -2(0) + 1 -2(1) + 1 -2(2) + 1 -2(-1) + 1 Ordered Pair (-2, 5) (-1, 3) (0, 1) (1, -1) (2, -3) Where is the “y-intercept”?

Objective: Given an equation, students will be able to (1) identify the slope, y-intercept, and (2) graph the line using the slope and y-intercept.

CA Standards 3.3: Graph linear functions, noting that the vertical change (change in y-value) per unit of horizontal change (change in x-value) is always the same and know that the ratio (“rise over run”) is called the slope of a graph.

Agenda: 10/05/11Agenda: 10/05/11

1.) Warm-up

2.) Lesson

Slope Intercept Equations ppt.

3.) Class/Homework

WS Graphing y = mx + b

4.) STAY ON TASK!!!

Page 3: Y = -2x + 1 x y xy -2 0 1 2 -2(-2) + 1= 5 -2(0) + 1 -2(1) + 1 -2(2) + 1 -2(-1) + 1 Ordered Pair (-2, 5) (-1, 3) (0, 1) (1, -1) (2, -3) Where is the “y-intercept”?

Slope-Intercept Slope-Intercept EquationsEquations

y = mx + b Slope y-intercept

ExamplExample:e:

84 xy

Slope(m) = -4 y-intercept(b) = -8

Page 4: Y = -2x + 1 x y xy -2 0 1 2 -2(-2) + 1= 5 -2(0) + 1 -2(1) + 1 -2(2) + 1 -2(-1) + 1 Ordered Pair (-2, 5) (-1, 3) (0, 1) (1, -1) (2, -3) Where is the “y-intercept”?

Find the slope and y-intercept of each equation:

52 xy 2 5

73

2 xy

3

27

32

1 xy

2

1 3

Slope (m) y-interceptEQUATION

5

4 xy 1

5

41

xy 1 01 +0

Page 5: Y = -2x + 1 x y xy -2 0 1 2 -2(-2) + 1= 5 -2(0) + 1 -2(1) + 1 -2(2) + 1 -2(-1) + 1 Ordered Pair (-2, 5) (-1, 3) (0, 1) (1, -1) (2, -3) Where is the “y-intercept”?

x

y

y-intercept (b) = 3

Graph the line using y-intercept and slope.

Slope (m) =

-2

1

-2

32 xy

1

RISE

RUN

y = mx + bbegin here!move

Example Example 1:1:

begin at y = 3

=

Page 6: Y = -2x + 1 x y xy -2 0 1 2 -2(-2) + 1= 5 -2(0) + 1 -2(1) + 1 -2(2) + 1 -2(-1) + 1 Ordered Pair (-2, 5) (-1, 3) (0, 1) (1, -1) (2, -3) Where is the “y-intercept”?

) 0a y

Example Example 2:2:

x

y

) 5b x

Page 7: Y = -2x + 1 x y xy -2 0 1 2 -2(-2) + 1= 5 -2(0) + 1 -2(1) + 1 -2(2) + 1 -2(-1) + 1 Ordered Pair (-2, 5) (-1, 3) (0, 1) (1, -1) (2, -3) Where is the “y-intercept”?

x

y

y-intercept (b) = 3

Graph the line using y-intercept and slope.

Slope (m) =

-14

-1

34

1 xy

4RISE

RUN

y = mx + bbegin here!move

Try This:Try This:

begin at y = 3

=

Let’s see your skills!