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Algebra 1 5-1 Guided Practice: Rate of Change and Slope

By Matt Richardson
Last updated almost 3 years ago
19 Questions

Solve It! The table shows the horizontal and vertical distances from the base of the mountain at several poles along the path of a ski lift. The poles are connected by a cable. Between which two poles is the cable's path the steepest?

Solve It! How do you know?

Review: Equivalent Fractions: Categorize the fractions appropriately.

  • \frac{1}{-2}
  • \frac{-1}{-2}
  • \frac{-1}{2}
  • Equivalent to \frac{1}{2}:
  • Equivalent to -\frac{1}{2}:

Take note: What is a rate of change ?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Take note: What is the slope formula used for?

Problem 3 Got It? What is the slope of the line through the points (1, 3) and (4, -1)?
Enter only a number in fraction form.

Problem 3 Got It? Reasoning: Plot the points (1, 3) and (4, -1) from the previous item and draw a line through them. Include relevant graph detail: label axes, indicate scale on both axes, add arrows to the ends of lines and axes.

Problem 3 Got It? Reasoning: Does the slope of the line you drew in the previous item match the slope you calculated in the item before that? Explain.

Problem 4 Got It?

Problem 4 Got It?

Graph a line that has positive slope.
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Graph a line that has negative slope.
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Graph a line that has a slope of 0.
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Graph a line that has undefined slope.
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Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?