Back to Details Practice: Model linear relationships with y = mx + b; determine and interpret rate of change and initial value. (NC.8.F.4) Open in Editor

Practice: Model linear relationships with y = mx + b; determine and interpret rate of change and initial value. (NC.8.F.4)

Targeted remediation practice

            📚 Mathematics
                            🎓 Grade 8
                                        ⏱️ 25 minutes
                    

Learning Objectives

Model linear relationships with y = mx + b; determine and interpret rate of change and initial value.

            Progress
            4 sections
        

1
Practice set 1

Question 1

A plant is 4 cm tall and grows 6 cm per week. In $y = mx + b$ form, what does the initial value b represent?

The growth rate, 6 cm/week
The starting height, 4 cm
The height after 1 week
The number of weeks

Question 2

A line passes through $(2, 12)$ and $(5, 18)$ . What is the rate of change (slope)?

Question 3

A plant is 14 cm tall and grows 4 cm per week. In $y = mx + b$ form, what does the initial value b represent?

The height after 1 week
The number of weeks
The starting height, 14 cm
The growth rate, 4 cm/week

Question 4

A line passes through $(3, 25)$ and $(6, 49)$ . What is the rate of change (slope)?

Question 5

A plant is 13 cm tall and grows 8 cm per week. In $y = mx + b$ form, what does the initial value b represent?

The growth rate, 8 cm/week
The height after 1 week
The number of weeks
The starting height, 13 cm

2
Practice set 2

Question 6

A line passes through $(2, 8)$ and $(7, 18)$ . What is the rate of change (slope)?

Question 7

A plant is 11 cm tall and grows 3 cm per week. In $y = mx + b$ form, what does the initial value b represent?

The number of weeks
The height after 1 week
The growth rate, 3 cm/week
The starting height, 11 cm

Question 8

A line passes through $(1, 13)$ and $(4, 25)$ . What is the rate of change (slope)?

Question 9

A plant is 5 cm tall and grows 2 cm per week. In $y = mx + b$ form, what does the initial value b represent?

The growth rate, 2 cm/week
The height after 1 week
The number of weeks
The starting height, 5 cm

Question 10

A line passes through $(2, 28)$ and $(5, 52)$ . What is the rate of change (slope)?

3
Practice set 3

Question 11

A plant is 10 cm tall and grows 3 cm per week. In $y = mx + b$ form, what does the initial value b represent?

The starting height, 10 cm
The growth rate, 3 cm/week
The number of weeks
The height after 1 week

Question 12

A line passes through $(3, 13)$ and $(7, 21)$ . What is the rate of change (slope)?

Question 13

A plant is 5 cm tall and grows 5 cm per week. In $y = mx + b$ form, what does the initial value b represent?

The number of weeks
The height after 1 week
The growth rate, 5 cm/week
The starting height, 5 cm

Question 14

A line passes through $(1, 10)$ and $(3, 20)$ . What is the rate of change (slope)?

Question 15

A plant is 5 cm tall and grows 5 cm per week. In $y = mx + b$ form, what does the initial value b represent?

The number of weeks
The starting height, 5 cm
The growth rate, 5 cm/week
The height after 1 week

4
Practice set 4

Question 16

A line passes through $(4, 38)$ and $(8, 70)$ . What is the rate of change (slope)?

Question 17

A plant is 8 cm tall and grows 7 cm per week. In $y = mx + b$ form, what does the initial value b represent?

The height after 1 week
The starting height, 8 cm
The number of weeks
The growth rate, 7 cm/week

Question 18

A line passes through $(3, 35)$ and $(7, 67)$ . What is the rate of change (slope)?

Question 19

A plant is 15 cm tall and grows 2 cm per week. In $y = mx + b$ form, what does the initial value b represent?

The growth rate, 2 cm/week
The starting height, 15 cm
The number of weeks
The height after 1 week

Question 20

A line passes through $(4, 20)$ and $(8, 28)$ . What is the rate of change (slope)?

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