2-4 Writing Linear Functions - Highlands School District

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LESSON Practice A

2-4 Writing Linear Functions

Identify the slope and y-intercept for each equation.

1. y = 3x + 2

2. y = x - 7 2

3. 2y = 5x - 4

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Find the slope of each line. 4. line through (2, 4) and (5, 3)

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5. line through (0, 0) and (-1, -3)

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Write the equation of each line in slope-intercept form, y = mx + b.

6. line with slope 3 and intercept 2

7. line with slope -1 and intercept -1 2

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8. line with slope 2 passing through (1, 1)

9. line with slope 2 passing through (4, -1) 3

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10. line parallel to y = -x + 6 passing through (5, 0)

11. line perpendicular to y = x - 4 3

passing through (-3, 1)

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Solve.

12. Daniela and Jack are hiking a steady incline. They use their GPS device to determine their elevation every 15 minutes. At 15 minutes and 30 minutes they were at elevations of 10,300 feet and 10,900 feet, respectively.

a. Write an equation expressing their elevation in relation to time.

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b. Based on the formula you found above, what is their elevation after one hour?

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

2-27

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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