44 The Slope Formula · 4.4 Notes Alg1.notebook November 20, 2012 15. The graph shows the height of...

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4.4 Notes Alg1.notebook November 20, 2012 Skills we've learned 1. The table shows the number of bikes made by a company for certain years. Find the rate of change for each time period. During which time period did the number of bikes increase at the fastest rate? 2. Find the slope of each line. Graph. 44 The Slope Formula 5. How can you tell if data is a line? Warmup Answers

Transcript of 44 The Slope Formula · 4.4 Notes Alg1.notebook November 20, 2012 15. The graph shows the height of...

Page 1: 44 The Slope Formula · 4.4 Notes Alg1.notebook November 20, 2012 15. The graph shows the height of a plant over a period of days. Find the slope of the line. Then tell what the slope

4.4 Notes Alg1.notebook November 20, 2012

Skills we've learned1. The table shows the number of bikes made by a company for certain years. Find the rate of change for each time period. During which time period did the number of bikes increase at the fastest rate?

2.  Find the slope of each line.

Graph.

4­4 The Slope Formula

5.  How can you tell if data is a line?

Warm­up Answers

Page 2: 44 The Slope Formula · 4.4 Notes Alg1.notebook November 20, 2012 15. The graph shows the height of a plant over a period of days. Find the slope of the line. Then tell what the slope

4.4 Notes Alg1.notebook November 20, 2012

Graph.

5.  How can you tell if data is a line?

4­4 The Slope Formula

Find the slope using graphs, tables and the slope formula

To see how quickly something changes

Page 3: 44 The Slope Formula · 4.4 Notes Alg1.notebook November 20, 2012 15. The graph shows the height of a plant over a period of days. Find the slope of the line. Then tell what the slope

4.4 Notes Alg1.notebook November 20, 2012

I.  Finding Slope from Graphs

1. 2.

3. 4.

II.  Finding Slope by Formula

5.  Find the slope of the line that contains (2, 5) and (8, 1).

Page 4: 44 The Slope Formula · 4.4 Notes Alg1.notebook November 20, 2012 15. The graph shows the height of a plant over a period of days. Find the slope of the line. Then tell what the slope

4.4 Notes Alg1.notebook November 20, 2012

6.  Find the slope of the line that contains (–2, –2) and (7, –2).

7.  Find the slope of the line that contains (5, –7) and (6, –4).

8.  Find the slope of the line that contains (4, 8) and (4, ­2)

III.  Finding Slope Table or GraphSometimes you are not given two points to use in the formula. You might have to choose two points from a graph or a table.

9.

Page 5: 44 The Slope Formula · 4.4 Notes Alg1.notebook November 20, 2012 15. The graph shows the height of a plant over a period of days. Find the slope of the line. Then tell what the slope

4.4 Notes Alg1.notebook November 20, 2012

10.  The table shows a linear relationship. Find the slope.

11.  The graph shows a linear relationship. Find the slope.

IV.  Finding Slope in an Equation12.

Page 6: 44 The Slope Formula · 4.4 Notes Alg1.notebook November 20, 2012 15. The graph shows the height of a plant over a period of days. Find the slope of the line. Then tell what the slope

4.4 Notes Alg1.notebook November 20, 2012

13.  Find the slope of the line described  by 2x + 3y = 12

V.  Application

14.  The graph shows the average electricity costs (in dollars) for operating a refrigerator for several months. Find the slope of the line. Then tell what the slope represents.

A slope of 6 mean the cost of running the refrigerator is a rate of 6 dollars per month.

Page 7: 44 The Slope Formula · 4.4 Notes Alg1.notebook November 20, 2012 15. The graph shows the height of a plant over a period of days. Find the slope of the line. Then tell what the slope

4.4 Notes Alg1.notebook November 20, 2012

15.  The graph shows the height of a plant over a period of days. Find the slope of the line. Then tell what the slope  represents.

4­4 p.257 #2 ­ 9, 12 ­ 18, 23

Hey!  It's Thanksgiving!!  So don't do the above assignment, instead turn in before you go...4­4 p.257 #2, 4, 5, 6, 7, 10, 12, 13

*16 problems