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Algebra 1 5-4 Guided Practice: Point-Slope Form

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Last updated over 5 years ago
12 questions
10
F.IF.7.a
10
F.IF.4
F.LE.2
F.LE.5
Recall: The general equation used to represent slope-intercept form is:
This format is named slope-intercept form because the equation reveals the slope, m, and y-intercept, b.
10
10
10
F.LE.2
Question 5
5.

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.

10
F.LE.2
10
Question 7
7.

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?

A.SSE.2
F.BF.3
F.LE.2
20
F.LE.2
F.LE.5
10
A.SSE.2
F.IF.4
F.LE.2
10
A.SSE.2
F.IF.4
F.LE.2
10
A.SSE.2
F.IF.4
F.LE.2
10
Question 12
12.

Take Note: Summarize the content of this lesson.

Question 1
1.

Question 2
2.

Take Note: What is the general equation used to represent point-slope form ?
Enter the equation as it is shown in the Key Concept box above.

Question 3
3.

Take Note: Explain why point-slope form is given that name.

Question 4
4.

Question 6
6.

Question 8
8.

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?

Question 9
9.

Problem 4 Got It? Refer to the point-slope form equation you created in the previous item. What does the slope represent?

Question 10
10.

Problem 4 Got It? Reasoning: Rewrite the equation from the previous item in slope-intercept form.

Question 11
11.

Problem 4 Got It? Reasoning: Refer to the slope-intercept form equation you created in the previous item. What does the y-intercept represent?

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 = -10x + 640
y = 2x + 650
y = -2x + 650
Problem 1 Got It?
A
B
C
D
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 + 3 = (7/3)(x + 2)
y - 4 = (7/3)(x - 2)
y - 4 = (7/3)(x + 2)
y - 3 = (7/3)(x - 2)