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Some of the questions in this unit may be answered by recording an audio file. If you chose to record the answer, click on the Add Recording button and follow the on-screen instructions closely. Once you have completed and attached the recording, enter the word “COMPLETE” in the text box. (Note: If your computer does not have a built-in microphone, a microphone or microphone/headset combination is needed to record audio.)
Slope
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| 1)
What does the slope of a line describe? |
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| 2)
Complete the sentence by determine what terms fill in the blanks: For the slope of a line, the vertical change is called the _____ and the horizontal change is called the _____. |
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| 3)
Select the statement that is NOT true about the graphs of the equations shown below. |
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| 6)
After substituting the values into the slope formula, what is the numerator of the slope? Let point Q be point 1 and point R be point 2. |
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| 7)
After substituting the values into the slope formula, what is the denominator? Let point Q be point 1 and point R be point 2. |
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For the next two problems, use the slope formula to calculate the slope. |
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Graphing a Line Using a Point and the Slope |
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| 12)
Answer the following questions about slope: (a) What is the general equation for the slope-intercept form of a line? (b) What does “m” represent in the slope-intercept equation? (c) What does “b” represent in the slope-intercept equation? |
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For the next three problems, refer to the equation 2x – 8y = 32. |
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For the next two problems, express each equation in slope-intercept form. |
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For the next two problems, express the equation in slope-intercept form, and then determine the slope and y-intercept. |
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| 18)
For –4x + 7y = –21, (a) what is the slope and (b what is the y-intercept? Give the y-intercept as an ordered pair. |
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| 19)
For 1.9x + 1.9y = 3.8, (a) what is the slope and (b what is the y-intercept? Give the y-intercept as an ordered pair. |
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For the next two problems, graph the given equation, and then answer the question. There is a link to graph paper in the content area of this unit.
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For the next two problems, graph the given equation, and then answer the question. There is a link to graph paper in the content area of this unit.
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| 22)
On graph paper, graph y = (2/7)x – 2. Explain how to graph the equation using the slope and y-intercept. |
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| 23)
On graph paper, graph 4x + 2y = 12. (a) What is the slope of the graph of the line and (b) what is the y-intercept? |
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Equations of Horizontal and Vertical Lines |
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| 24)
In the given graph, (a) what is the slope of the vertical line and (b) what is the equation of the line? |
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| 25) In the given graph, (a) what is the slope of the horizontal line and (b) what is the equation of the line? |
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For the next two problems, graph the given equation, and then answer the question. There is a link to graph paper in the content area of this unit.
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| 26)
On graph paper, graph the equation “x = –8”, and then answer the following questions: (a) Is the line vertical or horizontal? (b) What is the slope of the line? (c) State any two ordered pairs that are located on the line. |
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| 27)
On graph paper, graph the equation “y = –4”, and then answer the following questions: (a) Is the line vertical or horizontal? (b) What is the slope of the line? (c) State any two ordered pairs that are located on the line. |
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Parallel and Perpendicular Lines |
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| 28)
What is the slope of each line? Based on the slopes, explain why the lines are or are not parallel. Make sure to reduce the slopes to simplest form before answering the questions. |
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| 29)
What is the slope of each line? Based on the slopes, explain why the lines are or are not perpendicular. Make sure to reduce the slopes to simplest form before answering the questions. |
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| 30)
Which equation represents a line that is parallel to y = 4x – 9? |
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| 31)
Which equation represents a line that is perpendicular to y = 4x – 9? |
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In the given graph, line PQ passes through points P(–1, 0) and Q(1, 2). Point R(2, 0) is a point that is not located on line PQ. Refer to the given graph to answer the last two questions. Express the solutions in slope-intercept form. |
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| 32)
What is the equation of a line that is parallel to line PQ and passes through point R? |
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| 33)
What is the equation of a line that is perpendicular to line PQ and passes through point R? |
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| 34) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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| No offline activities found |
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