2-4 Writing Linear Functions

Name ________________________________________ Date __________________ Class__________________

Practice B

LESSON

2-4

Writing Linear Functions

Find the slope of each line.

1.

x

?5

1

4

9

y

?9

3

9

19

2.

_________________________________________

x

?7

?2

6

13

y

?0.5

2

6

9.5

________________________________________

Write the equation of each line in slope-intercept form.

3.

4.

________________________

5.

_________________________

6. line passing through (?3, ?4)

1

with a slope of

5

7.

_________________________________________

3

2

8. line parallel to y = ? x + 4

________________________

x

?2

3

8

11

y

?1

1.5

4

5.5

________________________________________

9. line perpendicular to y = ?2x + 11

and through (4, ?2)

and through (1, 5)

_________________________________________

________________________________________

Solve.

10. The pool at the Barnes Community Center is heated.

The table shows the temperature of the water at

various time intervals after the heater is turned on.

a. Express the temperature of the water as a

function of time.

_________________________________________

b. Find the temperature of the water after 12 hours.

Swimming Pool Heater

Time (h)

Temperature (T)

0

56¡ãF

3

62¡ãF

5

66¡ãF

9

74¡ãF

_________________________________________

Original content Copyright ? by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.

2-28

Holt Algebra 2

Problem Solving

3. Slope =

1. No; Possible answer: the rate of change

is not constant.

5

2

y-intercept = ?2

2. a. Because the rate of change is constant

4.

b. 6

c.

?1

3

5. 3

6. y = 3x + 2

7. y =

?x

?1

2

8. y = 2x ? 1

9. y =

2

11

x?

3

3

10. y = ?x + 5

11. y = ?3x ? 8

12. a. y = 40x + 9700

b. 12,460 feet

Practice B

d. $56

3. D

4. B

Reading Strategies

1.

Linear

Function

SlopeIntercept

Form

yintercept

Slope

y = ?4x + 7

?4

7

1.

4x + y = 7

2.

3y ? 3x = ?9

y=x?3

1

?3

3.

?6x + 2y = 12

y = 3x + 6

3

6

2.

3. y = 2x ? 4

4. y = ?3x + 1

5. y = ?

2

x ?1

5

7. y =

1

x

2

9. y =

1

x?4

2

6. y =

1

17

x?

5

5

8. y = ?

3

13

x+

2

2

10. a. T = 2t + 56

4. Possible answer: The x-intercept is the

point where the line crosses the x-axis.

The y-intercept is the point where the line

crosses the y-axis.

b. 80¡ãF

Practice C

5. Possible answer: Plot (2, ?1). The slope

1

of the line is , so move 1 unit up and 2

2

units to the right, to (4, 0).

6. Possible answer: Plot the points (4, 0)

and (0, ?2). Draw a line through both

points.

1. Neither

2. Perpendicular

3. Parallel

4. y = ?4x + 24

5. y =

2

14

x+

3

3

1

6. y = ? x + 2

2

7. y =

1

x +1

3

8. f(x) = ?x + 5

9. f ( x ) = ?

LESSON 2-4

5

25

x?

2

3

10. a. y = 3x + 172

Practice A

b. 196 cm

1. Slope = 3

c. Possible answer: No, Michelle will not

continue to improve at this rate forever.

She will reach a point where she will

improve only slightly each week.

y-intercept = 2

2. Slope =

1

2

1. 2

1

2

y-intercept = ?7

Original content Copyright ? by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.

A18

Holt Algebra 2

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