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

by Matthew Richardson

| 12 Questions1

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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

a

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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-slope form ?

Enter the equation as it is shown in the Key Concept box above.

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

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Problem 1 Got It?

A

B

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D

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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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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 - 4 = (7/3)(x + 2)

y - 3 = (7/3)(x - 2)

y + 3 = (7/3)(x + 2)

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

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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?

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Take Note: Summarize the content of this lesson.

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