LTMR #18:Slope #2 #1

LTMR #18:Slope #2 #1

Class Name : Pre Algebra Period 1 Student Name : _____________________

Instructor Name : Whitmore Instructor Note :

Question 1 of 10

Alan buys cheese from the local farmer's market. The graph below shows the cheese cost (in cents) versus its weight (in ounces).

Use the graph to answer the questions.

y 280

245

210

175

Cost (cents) 140

105

70

35

x

0 0

0

1

2

3

4

5

6

7

Weight (ounces)

LT M R # 1 8 : S l o p e # 2 # 1 P a g e 1 / 9

? 2020 McGraw-Hill Education. All Rights Reserved.

(a) What is the cost of buying no cheese?

cents

(b) What is the cost of buying 1 ounce of cheese?

cents (c) How much does the cost of the cheese increase for each ounce Alan

buys?

cents (d) Are the amounts given in parts (b) and (c) equal?

Why or why not? Choose the best answer.

Yes, because the line passes through 0, 0 . Yes, because the line does not pass through 0, 0 . No, because the line passes through 0, 0 . No, because the line does not pass through 0, 0 .

Question 2 of 10 For each line, determine whether the slope is positive, negative, zero, or undefined.

Line 1

y

Line 2

y

Line 3

y

Line 4

y

x

x

x

x

Positive Negative Zero Undefined

Positive Negative Zero Undefined

LT M R # 1 8 : S l o p e # 2 # 1 P a g e 2 / 9

Positive Negative Zero Undefined

Positive Negative Zero Undefined

? 2020 McGraw-Hill Education. All Rights Reserved.

Question 3 of 10 Find the slope of the line graphed below.

y 5

4

3

2

1

-5 -4 -3 -2 -1 -1

x 12345

-2

-3

-4

-5

Question 4 of 10 Find the slope of the line graphed below.

y 5

4

3

2

1

-5 -4 -3 -2 -1 -1

x 12 345

-2

-3

-4

-5

LT M R # 1 8 : S l o p e # 2 # 1 P a g e 3 / 9

? 2020 McGraw-Hill Education. All Rights Reserved.

Question 5 of 10

Line l is shown below. Right triangles A B C and D E F are drawn to measure the slope of the line.

22 y 20

l D

18

16

14

12

10

E F

8

6

A

4

2

-2 -2

B

x

2

4

6

8

10 C 12 14 16 18 20 22

Complete the parts below.

(a) Find the run, rise, and slope given by triangle A B C.

run:

rise:

slope:

(b) Find the run, rise, and slope given by triangle D E F.

run:

rise:

slope:

(c) Are the two slopes computed above equal? Why or why not?

Yes. They are equal because the two triangles are similar. Yes. They are equal because the two triangles are congruent. No. They are not equal because similar triangles can have different sizes. No. They are not equal because the larger the triangle, the smaller the slope.

LT M R # 1 8 : S l o p e # 2 # 1 P a g e 4 / 9

? 2020 McGraw-Hill Education. All Rights Reserved.

Question 6 of 10 Alonzo buys cheese from the local farmer's market. The graph below shows the cheese cost (in cents) versus its weight (in ounces).

Use the graph to answer the questions.

y 280

245

210

175

Cost (cents) 140

105

70

35

x

0 0

0

1

2

3

4

5

6

7

Weight (ounces)

(a) How much does the cost of the cheese increase for each ounce Alonzo buys? _____ cents

(b) What is the slope of the line? _____

Question 7 of 10

Find the slope of the line passing through the points - 9, - 3 and 7, - 7 .

Question 8 of 10

Find the slope of the line passing through the points - 3, - 8 and 4, 6 .

LT M R # 1 8 : S l o p e # 2 # 1 P a g e 5 / 9

? 2020 McGraw-Hill Education. All Rights Reserved.

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