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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

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