Chapter 1. Slope of a Linear Curve

Pre-Test Question:

Math and Graphing Review

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You must read each slide, and complete any questions on the slide, in sequence.

Question

Calculate the slope of the line in the figure below:

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Correct! The slope of the line is –0.5.

Sorry, the slope of the line is –0.5! Remember that slope is defined as the vertical distance traveled (the “rise”) divided by the horizontal distance traveled (the “run”).

Video

Post-Test Questions:

Question 1.1

Calculate the slope of the line in the figure below:

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Correct! The slope of the line is 0.5.

Sorry, the slope of the line is 0.5! Remember that slope is defined as the vertical distance traveled (the “rise”) divided by the horizontal distance traveled (the “run”). In the figure, the rise from point A to point B is 2 and the run is 4. This makes the slope 2/4 = 0.5.

Question 1.2

Calculate the slope of the line in the figure below:

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Correct! The slope of the line –1.25.

Sorry, the slope of the line is –1.25. Remember that slope is defined as the vertical distance traveled (the “rise”) divided by the horizontal distance traveled (the “run”). In the figure, the rise from point A to point B is –25 and the run is 20. This makes the slope –25/20 = –1.25.

Question 1.3

Calculate the slope of the line in the figure below:

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Correct! The slope of the line in the figure is 4.

Sorry, the slope of the line is 4. Remember that slope is defined as the vertical distance traveled (the “rise”) divided by the horizontal distance traveled (the “run”). In the figure, the rise from point A to point B is 8 and the run is 2. This makes the slope 8/2 = 4.

Question 1.4

Calculate the slope of the line in the figure below:

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Correct! The slope of the line is 1/10 or 0.1.

Sorry, the slope of the line is 1/10 or 0.1! Remember that slope is defined as the vertical distance traveled (the “rise”) divided by the horizontal distance traveled (the “run”). In the figure, the rise from point A to point B is 10 and the run is 100. This makes the slope 10/100 = 1/10 = 0.1.

Question 1.5

Calculate the slope of the line in the figure below:

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Correct! The slope of the line is –0.16.

Sorry, the slope of the line is -0.16! Remember that slope is defined as the vertical distance traveled (the “rise”) divided by the horizontal distance traveled (the “run”). In the figure, the rise from point A to point B is –40 and the run is 250. This makes the slope –40/250 = –0.16.