Twa kɔ nsɛm atitiriw so
Log in
Sign up for FREE
arrow_back
Laabri

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

star
star
star
star
star
Last updated about 4 years ago
31 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

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.

10
10
A.CED.2
F.IF.7.a
10
10
A.CED.2
F.IF.7.a
10
A.CED.2
F.IF.7.a
10
10
A.CED.2
A.SSE.1.a
F.IF.7.a
10
F.LE.2
10
F.LE.2
10
A.CED.2
F.IF.7.a
10
5
10
10
10
10
10
10
10
10
10
10
100
10
F.IF.7.a
10
Asemmisa {{asɛmmisaAhyɛnsode}}
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?

A.SSE.1.a
F.LE.5
10
Asemmisa {{asɛmmisaAhyɛnsode}}
2.

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

A.SSE.1.a
F.LE.5
Asemmisa {{asɛmmisaAhyɛnsode}}
3.

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

  • ⅔

  • -⅔

  • ½

  • -½

  • Slope

  • y-intercept

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

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

Yɛayi Graphing asɛmmisa type foforo a wɔatu mpɔn adi! Asuafo rentumi mmua saa asɛmmisa yi bio.
Asemmisa {{asɛmmisaAhyɛnsode}}
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?

10
Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Problem 2 Got It?

A.CED.2
10
Asemmisa {{asɛmmisaAhyɛnsode}}
7.

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

10
A.CED.2
F.LE.2
5
10
Asemmisa {{asɛmmisaAhyɛnsode}}
10.

Problem 4 Got It?

A.CED.2
F.LE.2
Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

Reasoning: Explain your response above.

Asemmisa {{asɛmmisaAhyɛnsode}}
21.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
22.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
23.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
24.

Review Lesson 1-7: Simplify the expression.

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
27.

Vocabulary Review: Which equation is NOT a linear equation?

Asemmisa {{asɛmmisaAhyɛnsode}}
28.

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."

Asemmisa {{asɛmmisaAhyɛnsode}}
29.

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.

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
31.

Reflection: Math Success

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

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