Algebra 1 5-4 Complete Lesson: Point-Slope Form
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5 (1 rating)
by Matthew Richardson
| 24 Questions
Note 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. The outlined content above was added from outside of Formative. 1
1
10 pts
Solve It! The red line shows the altitude of a hot-air balloon during its linear descent. What is an equation of the line in slope-intercept form? Hint: What is the altitude of the balloon when it starts its descent at x = 0?
y = 2x + 650
y = -10x + 640
y = -2x + 650  2
2
10 pts
Problem 1 Got It?
A
B
C
D
3
10 pts
Problem 2 Got It? What is the graph of the equation?
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate. 4
5
4
10 pts
Problem 3 Got It? In the last step of Problem 3, use the point (-2, -3) instead of (1, 4) to write an equation of the line.
y - 4 = (7/3)(x - 2)
y + 3 = (7/3)(x + 2)
y - 3 = (7/3)(x - 2)
y - 4 = (7/3)(x + 2)
5
10 pts
Problem 3 Got It? Reasoning: Rewrite the equations in Problem 3 and in the previous item in slope-intercept form. Compare the two rewritten equations. What can you conclude? 6
7
6
20 pts
Problem 4 Got It? The table shows the number of gallons of water y in a tank after x hours. The relationship is linear. What is an equation in point-slope form that models the data? What does the slope represent?
7
10 pts
Problem 4 Got It? Reasoning: Rewrite the equation from the previous item in slope-intercept form. What does the y-intercept represent?   8
10 pts
What are the slope and one point on the graph of the equation below?

slope: 4/9; point: (7, 12)
slope: 4/9; point: (-7, 12)
slope: 4/9; point: (-12, 7)
slope: 4/9; point: (12, 7)
9
10 pts
What is an equation of the line that passes through the point (3, -8) and has slope -2?
y + 8 = -2(x + 3)
y - 8 = -2(x + 3)
y + 8 = -2(x - 3)
y - 8 = -2(x - 3)
10
10 pts
What is an equation of the line that passes through the points (-1, -2) and (2, 4)?
y + 2 = 2(x - 1)
y + 1 = 2(x - 2)
y + 1 = 2(x + 2)
y + 2 = 2(x + 1)
11
10 pts
What is the graph of the equation below?
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
Vocabulary: What features of the graph of the equation below can you identify?

13
10 pts
Reasoning: Does the graph of the equation below include the point (-2, 1)? Explain.

14
10 pts
Reasoning: Can any equation in point-slope form also be written in slope-intercept form? Give an example to explain. 15
10 pts
Review Lesson 5-3: Match the slopes m and y-intercepts b with their equations.
• m = 1
• m = -1
• m = 6
• b = 0
• b = 4
• b = -13
• y = x + 4
• y = 6x
• y = -x - 13
16
10 pts
Review Lesson 2-5: Solve the equation for y.

y = 7xz
y = z/7x
y = 7z/x
17
10 pts
Review Lesson 2-5: Solve the equation for y.

y = (7b - 3) / a
y = (3b + 7) / a
y = (7b + 3) / a
18
10 pts
Review Lesson 2-5: Solve the equation for y.

y = c/6 - x
y = 6c - x
y = -c/6 + x 19
10 pts
Vocabulary Review: Classify each equation based on its y-intercept.
• y = 3x + 4
• y = 4x - 3
• y = 5x + 3
• y = -3x + 2
• Has a y-intercept of 3
• Has a y-intercept other than 3
20
10 pts
Vocabulary Review: Categorize each equation based on whether or not it is in slope-intercept form.
• 2x - y = 10
• x + 3y + 11 = 0
• y - 4 = 2(x + 7)
• y = 2x + 6
• Slope-intercept form
• NOT Slope-intercept form
21
10 pts
Vocabulary Review: Classify each statement based on whether or not it is true about the y-intercept of any graph.
• occurs where y = 0 on the graph
• occurs where x = 0 on the graph
• occurs where the graph touches the x-axis
• True of the y-intercept of any graph
• NOT true of the y-intercept (of at least some graphs) 22
10 pts
Use Your Vocabulary: Complete each sentence with the appropriate word from the list.
• price
• sun
• time
• The length of a shadow is a function of the angle of the __?__.
• The amount of water that has leaked from a leaky faucet is a function of __?__.
• The amount of sales tax you pay is a function of the item's __?__.
23
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.
24
10 pts
Reflection: Math Success
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