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  • 3 Graphing Lines SlopeIntercept  2016­17.notebook January 23, 2017

    Applications of slope...  WARM­UP 

    1.)  Jake's traveling record is shown in the table  below. Calculate his average rate of change  (SLOPE).

    Time (hours) Distance (miles)

    9 585

    13 845

    25 1,625

    32 2,080

    41 2,665

    2.)  The table below shows Marsha's swimming  workouts in a month at the YMCA. If Gabe swims 72  laps per hour, who will swim more laps per hour?

    Time (hours) Distance (laps)

    5 365

    12 876

    17 1,241

    21 1,533

    Graphing Lines Using Slope Intercept

    Method

  • 3 Graphing Lines SlopeIntercept  2016­17.notebook January 23, 2017

     Slope Intercept Form

    slope y­intercept

    Putting the equation in slope­intercept form is the same as solving for y.

    ­ the value of y when x = 0. ­ where the line crosses the y­ axis

    y = mx + b

    https://www.khanacademy.org/math/algebra­basics/core­algebra­graphing­lines­ slope/core­algebra­graphing­slope­intercept/v/graphing­a­line­in­slope­intercept­ form

    https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-graphing-slope-intercept/v/graphing-a-line-in-slope-intercept-form

  • 3 Graphing Lines SlopeIntercept  2016­17.notebook January 23, 2017

    (+) up and (­) down

    (+) right and (­) left

    For example:

     

    For example:

     

    MEANS

     

    MEANS

     

    How to GRAPH SLOPE of a LINE

    start here

    start here

    How do you graph linear equations using the slope­intercept form of an equation?

    2x + y = 5

  • 3 Graphing Lines SlopeIntercept  2016­17.notebook January 23, 2017

     6x + ­3y = ­12 

    Graph using the Slope Intercept Method...

    Graph the following lines:

    1. m= 1/2, Y­intercept: (0, ­3)

    2. ­6x ­ 4y = 20

    5. y = ­x

    6. 4x ­ y = 16

    3. Points: (3, 6) and (0, 4)

    4. y = ­5/6 x + 3

  • 3 Graphing Lines SlopeIntercept  2016­17.notebook January 23, 2017

    Special cases...

    y = 6

    x = ­8

    x = ­5

    y = 4

    y = ­3

    x = 1

  • 3 Graphing Lines SlopeIntercept  2016­17.notebook January 23, 2017 Let's MIX IT UP...

    y = 2x

    x = 5

    y = ­1/3x

    y = x

    x = ­2

    y = 3

    Page 1 Page 2 Page 3 Page 4 Page 5 Page 6

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