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

by Matthew Richardson

| 7 Questions1

1

10

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

Problem 1 Got It?

A

B

C

D

3

10

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

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

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

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

5

10

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

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

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

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