Algebra 1 5-3 Complete Lesson: Slope-Intercept Form

5 (1 rating)

by Matthew Richardson

| 31 QuestionsNote from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

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2

1

10 pts

Solve It! Bamboo can grow very quickly. The graph models the growth of a bamboo plant. Find the point where the line crosses the vertical axis. What does this point tell you about the bamboo plant?

2

10 pts

Solve It! Find the slope of the line. What does the slope tell you about the bamboo plant?

3

10 pts

Problem 1 Got It? What are the slope and y -intercept of the graph of the equation?

- ⅔
- -⅔
- ½
- -½

- Slope
- y-intercept

4

10 pts

Graphing: Graph the equation. Zoom and pan your graph to establish an appropriate viewing window.

5

10 pts

Problem 1 Got It? Reasoning: How do the graph of the line and the equation of the line in the previous item change if the y-intercept is moved down 3 units?

6

6

10 pts

Problem 2 Got It?

A

B

C

D

7

8

9

7

10 pts

Problem 3 Got It? What do you expect the slope of the line to be from looking at the graph?

negative

0

undefined

positive

8

10 pts

Problem 3 Got It? What is an equation of the line shown in the graph?

y = -x + 2

y= 2x + 1

y = 2x - 1

y = -2x + 2

9

5 pts

Problem 3 Got It? Reasoning: Does the equation of the line depend on the points you use to find the slope?

Yes

No

10

10

10 pts

Problem 4 Got It?

A

B

C

D

11

10 pts

Problem 5 Got It? Graph the linear equation.

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

12

10 pts

Problem 5 Got It? Graph the linear equation.

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

13

10 pts

Problem 6 Got It? A plumber charges a $65 fee for a repair plus $35 per hour. Write an equation to model the total cost y of a repair that takes x hours.

Enter your equation with spaces on each side of operation symbols and the equal sign, like this: y = 27x + 93

14

10 pts

Problem 6 Got It? A plumber charges a $65 fee for a repair plus $35 per hour. Construct a graph to model the total cost.

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

15

10 pts

What is an equation of the line with slope 6 and y-intercept -4?

y = 6x - 4

y = -6x + 4

y = 6x + 4

y = -6x - 4

16

10 pts

What equation in slope-intercept form represents the line that passes through the points (-3, 4) and (2, -1)?

y = -x + 1

y = x + 1

y = x - 1

y = -x - 1

17

10 pts

What is the graph of y = 5x + 2?

18

10 pts

Vocabulary: Is y = 5 a linear equation? Explain.

19

5 pts

Reasoning: Is it always, sometimes, or never true that an equation in slope-intercept form represents a direct variation?

Always

Sometimes

Never

20

10 pts

Reasoning: Explain your response above.

21

10 pts

Writing: Describe two different methods you can use to graph the equation y = 2x + 4. Which method do you prefer? Explain.

22

10 pts

Review Lesson 5-2: Suppose y varies directly with x. Match the given values of x and y with the direct variation equations.

- y = 5 when x = 1
- y = 8 when x = 4
- y = 9 when x = 3

- y = 2x
- y = 3x
- y = 5x

23

10 pts

Review Lesson 2-2: Solve the equation on the canvas. Justify each step.

24

10 pts

Review Lesson 1-7: Simplify the expression.

x + 15

-3x + 15

-3x - 5

-3x - 8

25

10 pts

Review Lesson 1-7: Simplify the expression.

Write your answer with a space on each side of the operation symbol, like this: 2x + 10

26

10 pts

Review Lesson 1-7: Simplify the expression.

Write your answer with a space on each side of the operation symbol, like this: 2x + 10

27

10 pts

Vocabulary Review: Which equation is NOT a linear equation?

A

B

C

D

28

10 pts

Vocabulary Review: Classify each statement as true or false.

- true
- false

- The graph of a linear equation is always a horizontal line.
- The graph of a linear equation is always a straight line.
- The graph of a linear equation may be shaped like a "U."

29

10 pts

Use Your Vocabulary: Complete each sentence with the correct word from the list.

- intercept
- intercepted
- interception

- During a football game, the home team's quarterback threw an __?__.
- The y-coordinate of a point where a graph crosses the y-axis is a y-__?__.
- The teacher __?__ the message Charlie was passing to his friend.

30

100 pts

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

31

10 pts

Reflection: Math Success

Add to my formatives list

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