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

by Matthew Richardson

| 23 Questions1

1

5

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

2

4

3

2

10

Take Note: Define slope.

3

10

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?

4

10

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

5

5

Problem 1 Got It? What is the slope of the line that passes through the points?

Enter only a number.

3

2

-1

1

6

5

Problem 1 Got It? What is the slope of the line that passes through the points?

Enter only a number or write "Undefined"

7

5

Problem 1 Got It? What is the slope of the line that passes through the points?

Enter only a number or write "Undefined"

8

9

10

11

12

13

14

15

16

8

5

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

9

5

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

10

5

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

11

5

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

12

10

Take Note: Define linear function.

13

5

Take Note: Provide and example of a linear function.

14

10

Take Note: What is an x-intercept of a graph? What is a y-intercept of a graph?

15

5

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

16

10

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

17

10

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

y = 5

y = 6x

y = 5x + 6

y = 6x + 5

18

10

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

19

10

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.

No; any two points on a line can be used to calculate the slope.

Yes; choosing different points results in a different slope.

20

20

10

Problem 3 Got It?

A

B

C

D

21

21

10

Problem 3 Got It?

A

B

C

D

22

10

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 on the embedded Desmos graphing utility below. Note any differences between the Desmos graph and your graph above. Edit your graph above if necessary.

23

23

10

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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