Representations of Linear Functions

Unear Function 2

Equationf\

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Graph J» ~£slope » ^ /-intercept - :r

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_ 3 .. ?^a ^ _ _ _ /

4< 5

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Table

'-. ':'">' >

•".

<.f

r"( i

1 <•

'.;! • ' • • y

y ~&j •** fa> -*/p <%» ~ ̂? 0

Verbal

The graph of the function contains the point

C // " ' and when the value of

x Increases by

X Increases by

"j. ,.

VS&* '\i •

V\ " -V ' "

•^ units, the value of

X*^ units.

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t". • "^ ..

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L... .:.'

ftl , ''.<

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AJ

Circle tfleiepresentatlon you used to answerttjlls'p.Uestlon, '\ '

What Is the value of the x-lntercept?

What Is the standard form of the equation?

What Is the value of y when x Is 60?

Equation Table /Graph^

'Equation,) Table Graph

''"Equation) Table Graph

Verbal

Verbal

Verbal

© Region 4 Education Service CenterAll Hants reserved.

Supporting STAAR'" Achievement: Algebra I

Representations of Linear Functions

Linear Function 3

Equation Table

' Jf,i;':

-9

-6

_-a

0

3

6

:'!'jf. • • '14

10

, -

2

-2

-6

Graph

slope •3- /-Intercept ;

Verbal

The graph of the function contains the point

O 1I *" and when the value of

~J units,x increases by

X -

the value of

. units.

What is the value of y when x Is -120?

What Is the value of x when y Is 10?

jClrcle vthe,;representatlon ypupused to answer'tfiis question. ' ' '•• ' ,

Equation Table Graph

^P""~SV\Equation fTable"^ Graph

Verbal

Verbal

© Region 4 Education Service CenterAll rlqhts reserved.

Supporting STAAR" Achievement: Alg.br. I

Name: Interpreting Slope and Intercepts

Driving Jack and JillJack and Jill each traveled for 3 hours at the rates described In the tables below. Complete eachtable and write an equation for each driver showing the distance traveled In 30 minute Intervalsfrom 0 hours to 3 hours.

Jack drives his truck at 35 miles per hour.

Time(hours.), x

' ?' ^

hJ3>

3pW

V.f

Dlstanqe Traveled(miles), y../'/',_£1 Ji

J* Q. '5^

x'l ,y}L -

Equation: -X-

Jill drives her car at 55 miles per hour.

,t Time(hours), x, ->

I ̂I* 5

t̂.1*5

•̂><

Distance Traveled(miles), x3-7, J

C>0 ,Cw [/&..lyji %f&j

Cation: r

How does the distance traveled by Jack compare to the distance traveled by Jill?

Graph the data for both drivers. Use adifferent color for each set of data. Labeleach graph with Its equation. Also labelthe axes and Include a title for the graph.

180

160

140

120

100

i 80

-/

1. How does the graph of Jack's data compare to the graph of Jill's data?

J,tl yf*?« fJ 5+**p*r2. What Is the y-lnjiercept of each graph?o3. What Is the x-lntercept of each graph?

4. Wha.t Is the slope of each graph?

5. Is the data continuous or discrete? How do you know?

© Region 4 Education Service CenterAll rights reserved.

Supporting STAARm Achievement: Algebra I

IMMrpretlng flap* and Intercepts

Student Drivers*Ms. Hale had 12 students in her classroom. Some of the students may have a driver's license and £•'some of the students may not have a driver's license. Create a table showing the possible »'Icombinations of students with and without a driver's license. Then graph the data. Be sure to ?appropriately label your graph. ;

Students'.,with

a Driver's; ,License

0

6

5

'5\•7?1\o1!12

Studentswithout

;a driver's'^,'License '

12

/ /__V

z3.;j23•

0

!.y,;T6tai::^;Number'bf

Students.l

1212

12

12

12

12

12

12

12

12

12

12

12

4 f 6 ~ 9 10 11 Tra 14 is*"'

;1. What does the ordered pair (0, 12) represent In this situation?

O s4f**J ^/7fh i ™

2. What does the ordered pair (12, 0) this situation?tion?

S *'3. Would It make sense to draw a Jlne through the data points In this situation? Why or why not?

&

4. Is the graph Increasing or decreasing? Why Is this the case for this situation? ><< ' •>

isSupporting STAAR™ Achievement: Algebra I