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?
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.
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Question 2
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Take Note: What is the general equation used to represent point-slopeform ?
Enter the equation as it is shown in the Key Concept box above.
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Question 3
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Take Note: Explain why point-slope form is given that name.
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Question 4
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Problem 1 Got It?
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Question 5
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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.
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Question 6
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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.
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Question 7
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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?
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Question 8
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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?
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Question 9
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Problem 4 Got It? Refer to the point-slope form equation you created in the previous item. What does the slope represent?
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Question 10
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Problem 4 Got It?Reasoning: Rewrite the equation from the previous item in slope-intercept form.
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Question 11
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Problem 4 Got It?Reasoning: Refer to the slope-intercept form equation you created in the previous item. What does the y-intercept represent?
