2-4 Writing Linear Functions - Highlands School District

Name ________________________________________ Date __________________ Class__________________

LESSON Practice B

2-4 Writing Linear Functions

Find the slope of each line.

1.

2.

x

-5

1

4

9

x

-7

-2

6

13

y

-9

3

9

19

y -0.5 2

6

9.5

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________________________________________

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

3.

4.

5.

________________________

_________________________

________________________

6. line passing through (-3, -4) with a slope of 1 5

7.

x

-2

3

8

11

y

-1 1.5

4

5.5

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________________________________________

8. line parallel to y = - 3 x + 4 2

and through (1, 5)

9. line perpendicular to y = -2x + 11 and through (4, -2)

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________________________________________

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.

Swimming Pool Heater

Time (h) Temperature (T)

0

56?F

3

62?F

_________________________________________

5

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

9

66?F 74?F

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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 1. No; Possible answer: the rate of change is not constant. 2. a. Because the rate of change is constant b. 6 c.

d. $56

3. D

4. B

Reading Strategies

1.

Linear Function

1. 4x + y = 7 2. 3y - 3x = -9 3. -6x + 2y = 12

SlopeIntercept

Form

y = -4x + 7

y = x - 3

y = 3x + 6

Slope

-4 1 3

yintercept

7 -3 6

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.

5. Possible answer: Plot (2, -1). The slope of the line is 1 , 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.

LESSON 2-4

Practice A 1. Slope = 3 y-intercept = 2 2. Slope = 1 2 y-intercept = -7

3. Slope = 5 2

y-intercept = -2 4. -1

3 6. y = 3x + 2

8. y = 2x - 1

10. y = -x + 5 12. a. y = 40x + 9700

b. 12,460 feet

5. 3

7. y = -x - 1 2

9. y = 2 x - 11 33

11. y = -3x - 8

Practice B

1. 2

3. y = 2x - 4 5. y = - 2 x - 1

5 7. y = 1 x

2 9. y = 1 x - 4

2 10. a. T = 2t + 56

b. 80?F

2. 1 2

4. y = -3x + 1 6. y = 1 x - 17

55 8. y = - 3 x + 13

22

Practice C

1. Neither

2. Perpendicular

3. Parallel

4. y = -4x + 24

5. y = 2 x + 14 33

6. y = - 1 x + 2 2

7. y = 1 x + 1 3

8. f(x) = -x + 5

9. f (x) = - 5 x - 25 23

10. a. y = 3x + 172

b. 196 cm

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.

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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