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?
F.IF.4
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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.
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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.
Hint: your equation should begin with y-y_{1}= and should NOT include spaces.
Second hint: use the math input keyboard OR an underscore, _, to switch to subscript for the 1's. Then, use the right arrow key to exit subscript.
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Take Note: Explain why point-slope form is given that name.
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Problem 1 Got It?
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Problem 2 Got It? What is the slope of the line represented by the equation?
F.IF.7.a
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Problem 2 Got It? What point on the line is indicated directly within the equation?
F.IF.7.a
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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.
F.IF.7.a
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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.
HINT: Only two numbers will change in the equation.
F.LE.2
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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.
Find the slope of the line then use any ordered pair from the table to write an equation of the line that models the data in point-slope form.Enter only the equation without spaces.
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F.LE.5
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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?
A.SSE.2
F.IF.4
F.LE.2
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Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
