Classwork

Chapter 8.1

y = mx + b4x + y = -14

y = -4x – 14-4x -4x

m = -4, b = -14

6x + 2y = -18-6x -6x

2y = -6x – 18

m = -3, b = -9

1. Solve by graphing.

2 2 2

y = -3x – 9

•

m = -4, b = -14

m = -3, b = -9

•

••(-5, 6)

4x + y = -14

6x + 2y = -18

•4x + y = -14

6x + 2y = -18

1. Solve by graphing.

•

•

intersect

y = mx + bx – y = 1

-y = -x + 1-x -x

m = , b = -

1

x = 5

vertical line

2. Solve by graphing.

-1 -1 -1y = x – 1

•

m = , b = -1

••

(5, 0)

x – y = 1

x = 5

x – y = 1x = 5

2. Solve by graphing.

intersect

vertical line

y = mx + b3x + 2y = 13

2y = -3x + 13-3x -3x

m = -, b = 6.5

3. Solve by graphing.

2 2 2y = -x + 6.5

2x + 4y = 22

4y = -2x + 22-2x -2x

m = -, b = 5.5

4 4 4y = -x + 5.5

•m = -, b = 6.5

••

(1, 5)

3x + 2y = 13

2x + 4y = 22

3x + 2y = 13 2x + 4y = 22

3. Solve by graphing.

intersect

m = -, b = 5.5

••••

y = mx + by – 5x = 3

+5x +5x

m = 5, b = 3

4. Solve by graphing.

y = 5x + 3

4y = 20x + 12

m = 5, b = 3

4 4 4

y = 5x + 3

•

m = 5, b = 3

•

•

dependent

y – 5x = 3

4y = 20x + 12

y – 5x = 34y = 20x + 12

4. Solve by graphing.

coincide

m = 5, b = 3

y = mx + b3x + y = 12

y = -3x + 12-3x -3x

m = -3, b = 12

9x + 3y = 36-9x -9x

3y = -9x + 36

m = -3, b = 12

5. Solve by graphing.

3 3 3

y = -3x + 12

•m = -3, b = 12

••

dependent

3x + y = 12

9x + 3y = 36

3x + y = 129x + 3y = 36

5. Solve by graphing.

coincide

m = -3, b = 12

y = mx + bx + y = 6

-x -x

m = -1, b = 6

x = 1

vertical line

6. Solve by graphing.

y = -x + 6

•

vertical line••

(1, 6)

x = 1

x + y = 6x + y = 6

x = 1

6. Solve by graphing.

intersect

m = -1, b = 6

•

y = mx + b2x + y = 1

-2x -2x

m = -2, b = 1

7. Solve by graphing.

y = -2x + 1

2x + y = 5-2x -2x

m = -2, b = 5

y = -2x + 5

•

m = -2, b = 1

•

•

inconsistent

2x + y = 1

2x + y = 52x + y = 1

2x + y = 5

7. Solve by graphing.

parallel

m = -2, b = 5

••

•

y = mx + b2x + y = 8

-2x -2x

m = -2, b = 8

x = 3

vertical line

8. Solve by graphing.

y = -2x + 8

•

vertical line•

•

(3, 2)

x = 3

2x + y = 82x + y = 8

x = 3

8. Solve by graphing.

intersect

m = -2, b = 8

••

y = mx + b4x + 8y = 16

-4x -4x

m = -, b = 2

9. Solve by graphing.

8y = -4x + 16

3x + 6y = 6-3x -3x

m = -, b = 1

6y = -3x + 68 8 8 6 6 6y = -x + 2 y = -x + 1

•

m = -, b = 2

••

inconsistent

4x + 8y = 16

3x + 6y = 6

3x + 6y = 6

4x + 8y = 16

9. Solve by graphing.

parallel

m = -, b = 1• ••

y = 2x = 6

vertical line

10. Solve by graphing.

horizontal line

•

vertical line

•

(6, 2)

x = 6

y = 2y = 2

x = 6

8. Solve by graphing.

intersect

horizontal line•

Classwork

Chapter 8.1