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

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Last updated about 4 years ago
31 questions
Note from the author:
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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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Question 1
1.

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?

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Question 3
3.

Question 4
4.

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

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 5
5.

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?

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Question 11
11.

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.

Question 12
12.

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.

Question 13
13.

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

Question 14
14.

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.

Question 15
15.

Question 16
16.

Question 17
17.

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

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

Question 18
18.

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

Question 19
19.

Question 20
20.

Reasoning: Explain your response above.

Question 21
21.

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

Question 22
22.

Question 23
23.

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

Question 24
24.

Question 25
25.

Review Lesson 1-7: Simplify the expression.
Write your answer with a space on each side of the operation symbol, like this: 2x + 10

Question 26
26.

Review Lesson 1-7: Simplify the expression.
Write your answer with a space on each side of the operation symbol, like this: 2x + 10

Question 27
27.

Question 28
28.

Question 29
29.

Question 30
30.

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.

Question 31
31.

Reflection: Math Success

Question 2
2.

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

Problem 1 Got It? What are the slope and y -intercept of the graph of the equation?
â…”
-â…”
½
-½
Slope
y-intercept
Question 6
6.

Question 7
7.

Question 8
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Question 9
9.

Question 10
10.

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
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
Reasoning: Is it always, sometimes, or never true that an equation in slope-intercept form represents a direct variation?
Always
Sometimes
Never
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
Review Lesson 1-7: Simplify the expression.
-3x + 15
x + 15
-3x - 8
-3x - 5
Vocabulary Review: Which equation is NOT a linear equation?
A
B
C
D
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."
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.
Problem 2 Got It?
A
B
C
D
Problem 3 Got It? What do you expect the slope of the line to be from looking at the graph?
0
positive
negative
undefined
Problem 3 Got It? What is an equation of the line shown in the graph?
y = -x + 2
y = 2x - 1
y = -2x + 2
y= 2x + 1
Problem 3 Got It? Reasoning: Does the equation of the line depend on the points you use to find the slope?
Yes
No
Problem 4 Got It?
A
B
C
D