8-3 Representing Linear Functions
Copy and complete each table. Use the results to write four ordered pair solutions of the given equation.
1. y = x + 7
SOLUTION: (–1, 6), (0, 7), (1, 8), (2, 9)
2. y = 2x – 3
SOLUTION: (–2, –7), (0, –3), (2, 1), (4, 5)
Find four solutions of each equation. Write the solutions as ordered pairs.
3. y = x + 5
SOLUTION: Sample Answer:
x
−1
0
1
2
y =x+5
y = (−1) + 5
y = (0) + 5
y = (1) + 5
y = (2) + 5
y
4
5
6
7
(−1, 4), (0, 5), (1, 6), (2, 7)
4. y = −4x
eSolutions Manual - Powered by Cognero
SOLUTION: Sample Answer:
Page 1
8-3
−1
0
1
Representing
2
y = (−1) + 5
y = (0) + 5
y = (1) + 5
Linear
y = (2)Functions
+5
4
5
6
7
4. y = −4x
SOLUTION: Sample Answer:
x
−1
0
1
2
y = −4x
y = −4(−1)
y = −4(0)
y = −4(1)
y = −4(2)
y
4
0
−4
−8
(−1, 4), (0, 0), (1, −4), (2, −8)
y = 3x + 6
y = 3(−1) + 6
y = 3(0) + 6
y = 3(1) + 6
y = 3(2) + 6
y
3
6
9
12
(−1, 3), (0, 6), (1, 9), (2, 12)
5. y = 3x + 6
SOLUTION: Sample Answer:
x
−1
0
1
2
6. −x + y = 7
SOLUTION: Rewrite the equation by solving for y.
Choose four x-values and substitute them into y = 7 + x.
x
y
y =7+x
6
−1
y = 7 + (−1)
0
7
y = 7 + (0)
1
8
y = 7 + (1)
2
9
y = 7 + (2)
(–1, 6), (0, 7), (1, 8), (2, 9)
Copy and complete each table. Use the results to write four ordered pair solutions of the given equation.
12. y = x – 2
SOLUTION: eSolutions Manual - Powered by Cognero
(–1, –3), (0, –2), (1, –1), (2, 0)
Page 2
8-3
−1
0
1
Representing
2
y = 7 + (−1)
y = 7 + (0)
y = 7 + (1)
Linear
Functions
y = 7 + (2)
6
7
8
9
Copy and complete each table. Use the results to write four ordered pair solutions of the given equation.
12. y = x – 2
SOLUTION: (–1, –3), (0, –2), (1, –1), (2, 0)
13. y = –2x
SOLUTION: (–1, 2), (0, 0), (1, –2), (2, –4)
14. y = 5x + 1
SOLUTION: eSolutions Manual - Powered by Cognero
(–2, –9), (–1, –4), (0, 1), (1, 6)
Page 3
8-3 Representing Linear Functions
(–1, 2), (0, 0), (1, –2), (2, –4)
14. y = 5x + 1
SOLUTION: (–2, –9), (–1, –4), (0, 1), (1, 6)
15. y = –2x + 8
SOLUTION: (–1, 10), (0, 8), (2, 4), (4, 0)
Find four solutions of each equation. Write the solutions as ordered pairs.
16. y = 8x
SOLUTION: Sample Answer:
x
−1
0
1
2
y = 8x
y = 8(−1)
y = 8(0)
y = 8(1)
y = 8(2)
y
−8
0
8
16
(–1, –8), (0, 0), (1, 8), (2, 16)
y
2
(–1, 2), (0, 0), (1, –2), (2, –4)
17. y = −2x
SOLUTION: Sample Answer:
x
−1
eSolutions Manual - Powered by Cognero
y = −2x
y = −2(−1)
Page 4
8-3
−1
0
1
Representing
2
y = 8(−1)
y = 8(0)
y = 8(1)
Linear
Functions
y = 8(2)
−8
0
8
16
17. y = −2x
SOLUTION: Sample Answer:
x
−1
0
1
2
y = −2x
y = −2(−1)
y = −2(0)
y = −2(1)
y = −2(2)
y
2
0
−2
−4
(–1, 2), (0, 0), (1, –2), (2, –4)
y =x+7
y = (−1) + 7
y = (0) + 7
y = (1) + 7
y = (2) + 7
y
6
7
8
9
(–1, 6), (0, 7), (1, 8), (2, 9)
y = −x + 3
y = −(−1) + 3
y = −(0) + 3
y = −(1) + 3
y = −(2) + 3
y
4
3
2
1
(–1, 4), (0, 3), (1, 2), (2, 1)
y
3
5
7
9
(–1, 3), (0, 5), (1, 7), (2, 9)
y
−1
−4
−7
−10
(–1, –1), (0, –4), (1, –7), (2, –10)
18. y = x + 7
SOLUTION: Sample Answer:
x
−1
0
1
2
19. y = −x + 3
SOLUTION: Sample Answer:
x
−1
0
1
2
20. y = 2x + 5
SOLUTION: Sample Answer:
x
−1
0
1
2
y = 2x + 5
y = 2(−1) + 5
y = 2(0) + 5
y = 2(1) + 5
y = 2(2) + 5
21. y = −3x − 4
SOLUTION: Sample Answer:
x
−1
0
1
2
y = −3x − 4
y = −3(−1) − 4
y = −3(0) − 4
y = −3(1) − 4
y = −3(2) − 4
eSolutions Manual - Powered by Cognero
22. x + y = −3
SOLUTION: Page 5
8-3
−1
0
1
Representing
2
y = 2(−1) + 5
y = 2(0) + 5
y = 2(1) + 5
Linear
Functions
y = 2(2) + 5
3
5
7
9
21. y = −3x − 4
SOLUTION: Sample Answer:
x
−1
0
1
2
y = −3x − 4
y = −3(−1) − 4
y = −3(0) − 4
y = −3(1) − 4
y = −3(2) − 4
y
−1
−4
−7
−10
(–1, –1), (0, –4), (1, –7), (2, –10)
22. x + y = −3
SOLUTION: Rewrite the equation by solving for y.
Choose four values for x and find the corresponding values for y.
x
y
y = −3 − x
−1
−2
y = −3 − (−1)
0
−3
y = −3 − (0)
1
−4
y = −3 − (1)
2
−5
y = −3 − (2)
(–1, –2), (0, –3), (1, –4), (2, –5)
23. 2x + y = 9
SOLUTION: Rewrite the equation by solving for y.
Choose four values for x and find the corresponding values for y.
x
y
y = 9 − 2x
11
−1
y = 9 − 2(−1)
0
9
y = 9 − 2(0)
1
7
y = 9 − 2(1)
2
5
y = 9 − 2(2)
(–1, 11), (0, 9), (1, 7), (2, 5)
eSolutions Manual - Powered by Cognero
Page 6