5.3.1 Slope

Labelling

What are the slopes of the graphs

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-1/5

1/5

Labelling

What are the slopes of the lines?

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undefined

3/5

-1/8

0

Hotspot

Which line has a slope of -1/5?

Multiple Choice

Which of the following answer choices is the slope of the line?

• 3

• 1/3

• undefined

• 0

Multiple Select

Which lines have a slope of 2?

• Line a

• Line b

• Line c

• Line d

Math Response

What is the slope of the line?

Type answer here

Correct Answer: \frac{3}{2}

Deg^°

Rad

Hotspot

A line passes through the points

(2, 5) and (3, 7)

Which expression can be used to find the slope of the line?

Multiple Choice

Without calculating, is the slope of the line that passes through (1, 9) and (7, 5) positive or negative?

• Positive slope

• Negative

Multiple Select

A car is driving at a constant speed on a highway. After 5 minutes, it has traveled 6 miles. After 25 minutes it has traveled 30 miles. What is the independent variable?

Select all that apply.

• y

• minutes

• x

• miles

Match

Match the coordinate points of a line to the corresponding slope of the line

• (-3, 4) and (3, 9)

• (8, 2) and (13, 2)

• (5, -1) and (9, 0)

5/6

0

1/4

• 5/6

• 0

• 1/4

Labelling

What is the line type and slope for each set of points?

Drag labels to their correct position on the image

Slope = 0

Slope = undefined

Vertical Line

Horizontal Line

Multiple Choice

Which expression correctly finishes the sentence below?

The vertical length of the slope triangle can be calculated using the expression ________.

Open Ended

The graph and table below model two different rates of change.

What is the unit for each rate of change?

Multiple Choice

What is the rate of change for the graph and corresponding table?

• 2 weeks per dollar

• 100 dollars per week

• 100 weeks per dollar

• 2 dollars per week

Match

The following lists represent how quickly different plants and trees grow. Match each rate of change with the correct slope. The slopes are shown as inches/weeks.

• 4 inches per week

• 4.5 inches per week

• 0.25 inches per week

slope: 12/3

slope: 108/24

slope: 2/8

• slope: 12/3

• slope: 108/24

• slope: 2/8

Multiple Select

Kristin purchased a new paper shredder for her office. She had a stack of 400 pages that needed to be shredded.

She counted the number of pages left in her stack after 4 minutes, 8 minutes, and 12 minutes. She wanted to know how quickly the stack of pages was changing.

Which of the following statements about this scenario are true?

• The number of pages in the stack is decreasing by 80 pages per minute

• The slope of the graph is 80.

• The number of pages in the stack is decreasing by 20 pages per minute.

• The slope of the graph is -20

Multiple Choice

Three seeds were planted, and their growth was measured periodically. The image shows the different rates of change. Which plant grew the slowest?

• A

• B

• C

Hotspot

Which of the following graphs or tables shows a rate of change that represents an increase of 2 tablespoons per cup?

Multiple Choice

The weather forecast says a blizzard is coming, and will fall at a constant rate. You want to know the rate of change of snowfall. To figure it out, you measure how much snow is on the ground after 20 minutes after the snow begins, 30 minutes after it begins, and 40 minutes after it begins.

Your data is the table below. What is the rate of change of snowfall?

• 20 minutes per inch

• 0.05 minutes per inch

• 0.05 inch per minute

• 20 inches per minute