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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
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