chapter 6 concept - cfi-west. chapter 6 concept lines . write equations of lines 2 different ways:...

Download Chapter 6 Concept - cfi-west. Chapter 6 Concept Lines . Write Equations of Lines 2 different ways: Slope-Intercept

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  • 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

    Gradient

    how “steep” the line is

  • Slope-Intercept form Standard Form

    Ax + By = C y = mx + b

    Slope

    Gradient

    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

    Gradient

    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