# chapter 6 concept - cfi-west. chapter 6 concept lines . write equations of lines 2 different ways:...     Post on 16-Jul-2020

0 views

Category:

## Documents

Embed Size (px)

TRANSCRIPT

• Chapter 6

Concept

Lines

• Write Equations of Lines 2 different ways:

Slope-Intercept form Standard Form

• Write Equations of Lines 2 different ways:

Slope-Intercept form Standard Form

y = 2x - 3 -2x + y = -3

• Write Equations of Lines 2 different ways:

Slope-Intercept form Standard Form

y = 2x - 3 -2x + y = -3

• Write Equations of Lines 2 different ways:

Slope-Intercept form Standard Form

y =

y =

2x - 3

- x + 4 3 2 2x + 3y = 12

-2x + y = -3

• Write Equations of Lines 2 different ways:

Slope-Intercept form Standard Form

y =

y =

2x - 3

- x + 4 3 2 2x + 3y = 12

-2x + y = -3

• Write Equations of Lines 2 different ways:

Slope-Intercept form Standard Form

y =

y =

y =

2x - 3

- x + 4

x 1

3 2

2 - x + y = 0

2x + 3y = 12

-2x + y = -3

1 2

• Write Equations of Lines 2 different ways:

Slope-Intercept form Standard Form

y =

y =

y =

2x - 3

- x + 4

x 1

3 2

2 - x + y = 0

2x + 3y = 12

-2x + y = -3

1 2

• Write Equations of Lines 2 different ways:

Slope-Intercept form Standard Form

y =

y =

y =

y =

2x - 3

- x + 4

x

4

1

3 2

2 - x + y = 0

2x + 3y = 12

-2x + y = -3

y = 4

1 2

• Write Equations of Lines 2 different ways:

Slope-Intercept form Standard Form

y =

y =

y =

y =

2x - 3

- x + 4

x

4

1

3 2

2 - x + y = 0

2x + 3y = 12

-2x + y = -3

y = 4

1 2

• Write Equations of Lines 2 different ways:

Slope-Intercept form Standard Form

y =

y =

y =

y =

2x - 3

- x + 4

x

4

1

3 2

2 - x + y = 0

2x + 3y = 12

-2x + y = -3

y = 4

N/A x = -4

1 2

• Write Equations of Lines 2 different ways:

Slope-Intercept form Standard Form

y =

y =

y =

y =

2x - 3

- x + 4

x

4

1

3 2

2 - x + y = 0

2x + 3y = 12

-2x + y = -3

y = 4

x = -4

1 2

• Slope-Intercept form Standard Form

y =

y =

y =

y =

2x - 3

- x + 4

x

4

1

3 2

2 - x + y = 0

2x + 3y = 12

-2x + y = -3

y = 4

x = -4

Ax + By = C y = mx + b

1 2

• Slope-Intercept form Standard Form

y =

y =

y =

y =

2x - 3

- x + 4

x

4

1

3 2

2 - x + y = 0

2x + 3y = 12

2x - y = 3

y = 4

x = -4

Ax + By = C y = mx + b

1 2

• Slope-Intercept form Standard Form

y =

y =

y =

y =

2x - 3

- x + 4

x

4

1

3 2

2 x - 2y = 0

2x + 3y = 12

2x - y = 3

y = 4

x = -4

Ax + By = C y = mx + b

• Slope-Intercept form Standard Form

Ax + By = C y = mx + b

Slope

how “steep” the line is

• Slope-Intercept form Standard Form

Ax + By = C y = mx + b

Slope

how “steep” the line is

m -A B

• Slope of this

line is 1 = 1 1

• The slope is becoming

less steep - slope is

getting smaller than 1.

• The slope is becoming

less steep - slope is

getting smaller than 1.

• The slope is becoming

less steep - slope is

getting smaller than 1.

• The slope is becoming

less steep - slope is

getting smaller than 1.

• The slope is becoming

so small - what is the

slope of this line?

• The slope is becoming

so small - what is the

slope of this line?

Slope = 0

• Slope of this

line is 1 = 1 1

• The slope is becoming

more steep - slope is

getting bigger than 1.

• The slope is becoming

more steep - slope is

getting bigger than 1.

• The slope is becoming

more steep - slope is

getting bigger than 1.

• The slope is becoming

more steep - slope is

getting bigger than 1.

• The slope is becoming

more steep - slope is

getting bigger than 1.

• The slope is

becoming so big-

what is the slope

of this line?

• The slope is

becoming so big-

what is the slope

of this line?

Slope = doesn’t exist

• The slope is

becoming so big-

what is the slope

of this line?

Slope = undefined

• Slope-Intercept form Standard Form

Ax + By = C y = mx + b

Slope

how “steep” the line is

m -A B

• Slope-Intercept form Standard Form

y = 2x - 3

y = mx + b Ax + By = C

slope = m slope = - A B

2x - y = 3

• y =

y =

2x - 3

- x + 4 3 2 2x + 3y = 12

Slope-Intercept form Standard Form

slope = m slope = -

Ax + By = C y = mx + b

A B

2x - y = 3

• y =

y =

y =

2x - 3

- x + 4

x 1

3 2

2

2x + 3y = 12

Slope-Intercept form Standard Form

slope = m slope = -

y = mx + b Ax + By = C

A B

2x - y = 3

x - 2y = 0

• y =

y =

y =

y =

2x - 3

- x + 4

x

4

1

3 2

2

2x + 3y = 12

Slope-Intercept form Standard Form

slope = m slope = -

y = mx + b Ax + By = C

A B

2x - y = 3

x - 2y = 0

y = 4

• y =

y =

y =

y =

2x - 3

- x + 4

x

4

1

3 2

2

2x + 3y = 12

x = -4

Slope-Intercept form Standard Form

slope = m slope = - A B

Ax + By = C y = mx + b

Undefined slope y = mx + b

2x - y = 3

x - 2y = 0

y = 4

• (x,y)

point A (3,6) point B (1,2)

A

B

slope = change in y-values change in x-values

slope = difference in y-values difference in x-values

slope = x y

slope = = = 2 3-1 2 6-2 4

• A

B

slope = change in y-values change in x-values

slope = difference in y-values difference in x-values

slope = x y

slope = = = 2 3-1 2

(x,y)

point A (3,6) point B (1,2)

6-2 4

• A

B

slope = change in y-values change in x-values

slope = difference in y-values difference in x-values

slope = x y

slope = = = 2 3-1 2

(x,y)

point A (3,6) point B (1,2)

6-2 4

• A

B

slope = change in y-values change in x-values

slope = difference in y-values difference in x-values

slope = x y

slope = = = 2 3-1 2

(x,y)

point A (3,6) point B (1,2)

6-2 4

• A

B

slope = change in y-values change in x-values

slope = difference in y-values difference in x-values

slope = x y

slope = = = 2 3-1 2

(x,y)

point A (3,6) point B (1,2)

6-2 4

• A

B

slope = change in y-values change in x-values

slope = difference in y

Recommended