Algebra 2 2-3 Guided Practice: Linear Functions and Slope-Intercept Form

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Solve It! By what value do you multiply height h to get height H?

Note that OA simply means the distance from point O to point A. OB is the distance from O to B.

HINT: One of the fractions below is greater than 1 and the other is less than 1.

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Take Note: Define slope.

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Take Note: The slope formula is as follows: \frac{y_{2}-y_{1}}{x_{2}-x_{1}}
How does the common expression "rise over run" relate to the slope formula?

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Take Note: Describe a "real-life" scenario in which it could be important to know the slope of something.

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Problem 1 Got It? What is the slope of the line that passes through the points?
Enter only a number.

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Problem 1 Got It? What is the slope of the line that passes through the points?
Enter only a number or write "Undefined"

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Problem 1 Got It? What is the slope of the line that passes through the points?
Enter only a number or write "Undefined"

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Take Note: Graph a line that has positive slope. Zoom and pan your graph to establish an appropriate viewing window.

Instructions

Click the graph tab.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.

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Take Note: Graph a line that has zero slope. Zoom and pan your graph to establish an appropriate viewing window.

Instructions

Click the graph tab.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.

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Take Note: Graph a line that has negative slope. Zoom and pan your graph to establish an appropriate viewing window.

Instructions

Click the graph tab.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.

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Take Note: Graph a line that has undefined slope. Zoom and pan your graph to establish an appropriate viewing window.

Instructions

Click the graph tab.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.

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Take Note: Define linear function.

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Take Note: Provide an example of an equation of a linear function that is NOT a direct variation.

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Take Note: What is an x-intercept of a graph? What is a y-intercept of a graph? You may use the canvas to help illustrate your written response.

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Take Note: Provide an example of an equation that is in slope-intercept form.

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Take Note: Why is it appropriate that the words "slope" and "intercept" are found in the name slope-intercept form?

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Problem 2 Got It? What is the equation of a line with m = 6 and y-intercept (0, 5)?

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Problem 2 Got It? What is the equation of a line graphed below?

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Problem 2 Got It? Reasoning: In the previous item, do you get a different equation if you use (-6, 0) and the y-intercept to find the slope of the line? Explain.

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Problem 3 Got It?

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Problem 3 Got It?

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Problem 4 Got It? What is the graph of the equation? Hint: convert the equation to slope-intercept form.

Verify with a graphing utility
Graph the equation from the previous item at desmos.com/calculator. Note any differences between the Desmos graph and your graph above. Edit your graph above if necessary.

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Video Check: Select all that apply with regards to the video embedded directly above this item.

Solve It! By what value do you multiply height h to get height H?Note that OA simply means the distance from point O to point A. OB is the distance from O to B.HINT: One of the fractions below is greater than 1 and the other is less than 1.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define slope.

Take Note: The slope formula is as follows: \frac{y_{2}-y_{1}}{x_{2}-x_{1}}How does the common expression "rise over run" relate to the slope formula?

Take Note: Describe a "real-life" scenario in which it could be important to know the slope of something.

Problem 1 Got It? What is the slope of the line that passes through the points?Enter only a number.

Problem 1 Got It? What is the slope of the line that passes through the points?Enter only a number or write "Undefined"

Problem 1 Got It? What is the slope of the line that passes through the points? Enter only a number or write "Undefined"

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Graph a line that has positive slope. Zoom and pan your graph to establish an appropriate viewing window.

Take Note: Graph a line that has zero slope. Zoom and pan your graph to establish an appropriate viewing window.

Take Note: Graph a line that has negative slope. Zoom and pan your graph to establish an appropriate viewing window.

Take Note: Graph a line that has undefined slope. Zoom and pan your graph to establish an appropriate viewing window.

Take Note: Define linear function.

Take Note: Provide an example of an equation of a linear function that is NOT a direct variation.

Take Note: What is an x-intercept of a graph? What is a y-intercept of a graph? You may use the canvas to help illustrate your written response.

Take Note: Provide an example of an equation that is in slope-intercept form.

Take Note: Why is it appropriate that the words "slope" and "intercept" are found in the name slope-intercept form?

Problem 2 Got It? What is the equation of a line with m = 6 and y-intercept (0, 5)?

Problem 2 Got It? What is the equation of a line graphed below?

Problem 2 Got It? Reasoning: In the previous item, do you get a different equation if you use (-6, 0) and the y-intercept to find the slope of the line? Explain.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 3 Got It?

Problem 3 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 4 Got It? What is the graph of the equation? Hint: convert the equation to slope-intercept form.

Verify with a graphing utility

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Solve It! By what value do you multiply height h to get height H?

Note that OA simply means the distance from point O to point A. OB is the distance from O to B.

HINT: One of the fractions below is greater than 1 and the other is less than 1.

Take Note: The slope formula is as follows: \frac{y_{2}-y_{1}}{x_{2}-x_{1}}
How does the common expression "rise over run" relate to the slope formula?

Problem 1 Got It? What is the slope of the line that passes through the points?
Enter only a number.

Problem 1 Got It? What is the slope of the line that passes through the points?
Enter only a number or write "Undefined"

Problem 1 Got It? What is the slope of the line that passes through the points?
Enter only a number or write "Undefined"

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?