chapter 7 notes - east jackson middle school...

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Chapter 7 Notes 1 Graphing on the Coordinate "I've Earned My Stripes" graph Cartesian Coordinate Plane

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Page 1: Chapter 7 Notes - EAST JACKSON MIDDLE SCHOOL …mrsmithejmath.weebly.com/uploads/1/3/5/5/13550029/chapter_7_no… · Chapter 7 Notes 5 Determine whether the ordered pair is a solution

Chapter 7 Notes

1

Graphing on the Coordinate

"I've Earned My Stripes" graph

Cartesian Coordinate Plane

Page 2: Chapter 7 Notes - EAST JACKSON MIDDLE SCHOOL …mrsmithejmath.weebly.com/uploads/1/3/5/5/13550029/chapter_7_no… · Chapter 7 Notes 5 Determine whether the ordered pair is a solution

Chapter 7 Notes

2

Placing Ordered Pairs on the Coordinate Plane

A(2, 3)move right

2 units

move up

3 units

right (+) or left (-) up (+) or down (-)

(x, y)

Distance Between Points

Given two points (x1, y1) and (x2, y2):Horizontal distance = x2 - x1

y2 - y1

Page 3: Chapter 7 Notes - EAST JACKSON MIDDLE SCHOOL …mrsmithejmath.weebly.com/uploads/1/3/5/5/13550029/chapter_7_no… · Chapter 7 Notes 5 Determine whether the ordered pair is a solution

Chapter 7 Notes

3

Distance Between Points

Given two points (x1, y1) and (x2, y2):Horizontal distance = x2 - x1

y2 - y1

Page 4: Chapter 7 Notes - EAST JACKSON MIDDLE SCHOOL …mrsmithejmath.weebly.com/uploads/1/3/5/5/13550029/chapter_7_no… · Chapter 7 Notes 5 Determine whether the ordered pair is a solution

Chapter 7 Notes

4

Steps to determine whether an ordered pair is a solution.

Determine whether the ordered pair is a solution of y = 3x + 2.

a. ( , )(x, y)

y = 3x + 2

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Chapter 7 Notes

5

Determine whether the ordered pair is a solution of y = 3x + 2.

b. ( , )(x, y)

y = 3x + 2

Creating a table of Ordered Pair Solutions

Make a table for y = 8x for x = 1, 2, 3, 4

x 8x y (x, y)

Creating a table of Ordered Pair Solutions

Make a table for n = 4m - 3 for m = -4, -3, -2, -1

Page 6: Chapter 7 Notes - EAST JACKSON MIDDLE SCHOOL …mrsmithejmath.weebly.com/uploads/1/3/5/5/13550029/chapter_7_no… · Chapter 7 Notes 5 Determine whether the ordered pair is a solution

Chapter 7 Notes

6

speed.

Page 7: Chapter 7 Notes - EAST JACKSON MIDDLE SCHOOL …mrsmithejmath.weebly.com/uploads/1/3/5/5/13550029/chapter_7_no… · Chapter 7 Notes 5 Determine whether the ordered pair is a solution

Chapter 7 Notes

7

0 0

10 10,000

20 20,000

30 30,000

60 30,000

70 20,000

80 10,000

90 0

Page 8: Chapter 7 Notes - EAST JACKSON MIDDLE SCHOOL …mrsmithejmath.weebly.com/uploads/1/3/5/5/13550029/chapter_7_no… · Chapter 7 Notes 5 Determine whether the ordered pair is a solution

Chapter 7 Notes

8

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Chapter 7 Notes

9

x y

-2 1

-1 2

0 3

1 4

2 5

Use the table to write an equation.

a.

x y

0 12

2 10

4 8

6 6

8 4

Use the table to write an equation.

b.

x y

1 5

2 3

3 1

4 -1

5 -3

Use the table to write an equation.

c.

Page 10: Chapter 7 Notes - EAST JACKSON MIDDLE SCHOOL …mrsmithejmath.weebly.com/uploads/1/3/5/5/13550029/chapter_7_no… · Chapter 7 Notes 5 Determine whether the ordered pair is a solution

Chapter 7 Notes

10

x y

Use the graph to make a table and write an equation.

Page 11: Chapter 7 Notes - EAST JACKSON MIDDLE SCHOOL …mrsmithejmath.weebly.com/uploads/1/3/5/5/13550029/chapter_7_no… · Chapter 7 Notes 5 Determine whether the ordered pair is a solution

Chapter 7 Notes

11

linear equation

a) y = 3x - 4

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Chapter 7 Notes

12

Determine whether the rates of change are constant or variable.

0 1 3 6 8

0 4 8 8 6

(out, y-coordinate)

Determine whether the rates of change are constant or variable.

0 1 4 6 7

1 2 5 7 8

(out, y-coordinate)

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Chapter 7 Notes

13

5

9

4

11

8

d = 0.2s d

5

9

4

11

8

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Chapter 7 Notes

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Chapter 7 Notes

15

Find the slope of the line that passes through (1,7) and (9, 1).

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Chapter 7 Notes

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5 75,000

10 150,000

15 225,000

20 300,000

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Chapter 7 Notes

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Chapter 7 Notes

18

point on the graph.

point on the graph.

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Chapter 7 Notes

19

point on the graph.

point on the graph.

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Chapter 7 Notes

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mx +

mx +