Question

complete the function table for each equation.

1. ( y = \frac{1}{9}x + 9 )

x	y
-4
-6
8
-7
-2

1. ( y = 6x )

x	y
7
8
2
0
-3

1. ( y = x - 3 )

x	y
2
-5
1
-8
-7

1. ( y = -4x )

x	y
-9
4
-4
-1
0

1. ( y = -5x + 4 )

x	y
-8
7
-9
9
3

1. ( y = \frac{1}{8}x - 5 )

x	y
-4
-6
8
-7
3

1. ( y = \frac{1}{2}x - 8 )

x	y
-9
0
8
6
7

1. ( y = 5x )

x	y
-2
-8
0
-6
2

1. ( y = x - 6 )

x	y
-1
-9
4
3
-6

1. ( y = -2x - 4 )

x	y
-9
-3
4
-1
3

1. ( y = -9x + 3 )

x	y
8
-1
7
-9
-5

1. ( y = x + 5 )

x	y
-7
-4
6
4
8

Explanation:

1) $y=\frac{1}{9}x + 9$

Step1: Substitute $x=-4$

$y=\frac{1}{9}(-4)+9 = -\frac{4}{9}+\frac{81}{9}=\frac{77}{9}\approx8.56$

Step2: Substitute $x=-6$

$y=\frac{1}{9}(-6)+9 = -\frac{2}{3}+\frac{27}{3}=\frac{25}{3}\approx8.33$

Step3: Substitute $x=8$

$y=\frac{1}{9}(8)+9 = \frac{8}{9}+\frac{81}{9}=\frac{89}{9}\approx9.89$

Step4: Substitute $x=-7$

$y=\frac{1}{9}(-7)+9 = -\frac{7}{9}+\frac{81}{9}=\frac{74}{9}\approx8.22$

Step5: Substitute $x=-2$

$y=\frac{1}{9}(-2)+9 = -\frac{2}{9}+\frac{81}{9}=\frac{79}{9}\approx8.78$

2) $y=-4x$

Step1: Substitute $x=-9$

$y=-4(-9)=36$

Step2: Substitute $x=4$

$y=-4(4)=-16$

Step3: Substitute $x=-4$

$y=-4(-4)=16$

Step4: Substitute $x=-1$

$y=-4(-1)=4$

Step5: Substitute $x=0$

$y=-4(0)=0$

3) $y=\frac{1}{2}x - 8$

Step1: Substitute $x=-9$

$y=\frac{1}{2}(-9)-8 = -\frac{9}{2}-\frac{16}{2}=-\frac{25}{2}=-12.5$

Step2: Substitute $x=0$

$y=\frac{1}{2}(0)-8=-8$

Step3: Substitute $x=8$

$y=\frac{1}{2}(8)-8=4-8=-4$

Step4: Substitute $x=6$

$y=\frac{1}{2}(6)-8=3-8=-5$

Step5: Substitute $x=7$

$y=\frac{1}{2}(7)-8 = \frac{7}{2}-\frac{16}{2}=-\frac{9}{2}=-4.5$

4) $y=-2x - 4$

Step1: Substitute $x=-9$

$y=-2(-9)-4=18-4=14$

Step2: Substitute $x=-3$

$y=-2(-3)-4=6-4=2$

Step3: Substitute $x=4$

$y=-2(4)-4=-8-4=-12$

Step4: Substitute $x=-1$

$y=-2(-1)-4=2-4=-2$

Step5: Substitute $x=3$

$y=-2(3)-4=-6-4=-10$

5) $y=6x$

Step1: Substitute $x=7$

$y=6(7)=42$

Step2: Substitute $x=8$

$y=6(8)=48$

Step3: Substitute $x=2$

$y=6(2)=12$

Step4: Substitute $x=0$

$y=6(0)=0$

Step5: Substitute $x=-3$

$y=6(-3)=-18$

6) $y=-5x + 4$

Step1: Substitute $x=-8$

$y=-5(-8)+4=40+4=44$

Step2: Substitute $x=7$

$y=-5(7)+4=-35+4=-31$

Step3: Substitute $x=-9$

$y=-5(-9)+4=45+4=49$

Step4: Substitute $x=9$

$y=-5(9)+4=-45+4=-41$

Step5: Substitute $x=3$

$y=-5(3)+4=-15+4=-11$

7) $y=5x$

Step1: Substitute $x=-2$

$y=5(-2)=-10$

Step2: Substitute $x=-8$

$y=5(-8)=-40$

Step3: Substitute $x=0$

$y=5(0)=0$

Step4: Substitute $x=-6$

$y=5(-6)=-30$

Step5: Substitute $x=2$

$y=5(2)=10$

8) $y=-9x + 3$

Step1: Substitute $x=8$

$y=-9(8)+3=-72+3=-69$

Step2: Substitute $x=-1$

$y=-9(-1)+3=9+3=12$

Step3: Substitute $x=7$

$y=-9(7)+3=-63+3=-60$

Step4: Substitute $x=-9$

$y=-9(-9)+3=81+3=84$

Step5: Substitute $x=-5$

$y=-9(-5)+3=45+3=48$

9) $y=x - 3$

Step1: Substitute $x=2$

$y=2-3=-1$

Step2: Substitute $x=-5$

$y=-5-3=-8$

Step3: Substitute $x=1$

$y=1-3=-2$

Step4: Substitute $x=-8$

$y=-8-3=-11$

Step5: Substitute $x=-7$

$y=-7-3=-10$

10) $y=\frac{1}{8}x - 5$

Step1: Substitute $x=-4$

$y=\frac{1}{8}(-4)-5 = -\frac{1}{2}-5=-\frac{11}{2}=-5.5$

Step2: Substitute $x=-6$

$y=\frac{1}{8}(-6)-5 = -\frac{3}{4}-5=-\frac{23}{4}=-5.75$

Step3: Substitute $x=8$

$y=\frac{1}{8}(8)-5=1-5=-4$

Step4: Substitute $x=-7$

$y=\frac{1}{8}(-7)-5 = -\frac{7}{8}-5=-\frac{47}{8}=-5.875$

Step5: Substitute $x=3$

$y=\frac{1}{8}(3)-5 = \frac{3}{8}-5=-\frac{37}{8}=-4.625$

11) $y=x - 6$

Step1: Substitute $x=-1$

$y=-1-6=-7$

Step2: Substitute $x=-9$

$y=-9-6=-15$

Step3: Substitute $x=4$

$y=4-6=-2$

Step4: Substitute $x=3$

$y=3-6=-3$

Step5: Substitute $x=-6$

$y=-6-6=-12$

12) $y=x + 5$

Step1: Substitute $x=-7$

$y=-7+5=-2$

Step2: Substitute $x=-4$

$y=-4+5=1$

Step3: Substitute $x=6$

$y=6+5=11$

Step4: Substitute $x=4$

$y=4+5=9$

Step5: Substitute $x=8$

$y=8+5=13$

Answer:

1)

x	y
-6	$\frac{25}{3}\approx8.33$
8	$\frac{89}{9}\approx9.89$
-7	$\frac{74}{9}\approx8.22$
-2	$\frac{79}{9}\approx8.78$

2)

x	y
4	-16
-4	16
-1	4
0	0

3)

x	y
0	-8
8	-4
6	-5
7	-4.5

4)

x	y
-3	2
4	-12
-1	-2
3	-10

5)

x	y
8	48
2	12
0	0
-3	-18

6)

x	y
7	-31
-9	49
9	-41
3	-11

7)

x	y
-8	-40
0	0
-6	-30
2	10

8)

x	y
-1	12
7	-60
-9	84
-5	48

9)

x	y
-5	-8
1	-2
-8	-11
-7	-10

10)

x	y
-6	-5.75
8	-4
-7	-5.875
3	-4.625

11)

x	y
-9	-15
4	-2
3	-3
-6	-12

12)

x	y
-4	1
6	11
4	9
8	13