Question

2)
$y = 4x + 9$

x	y
6	33
-3	-3
9	45
3	21
-2	1

3)
$y = 6x + 3$

x	y
-7
-6
-1
1
7

4)
$y = 7x - 8$

x	y
3
9
-3
8
-9

Explanation:

Problem 3 Step 1: Substitute \( x = -7 \) into \( y = 6x + 3 \)

Calculate \( 6\times(-7)+3=-42 + 3=-39 \)

Problem 3 Step 2: Substitute \( x = -6 \) into \( y = 6x + 3 \)

Calculate \( 6\times(-6)+3=-36 + 3=-33 \)

Problem 3 Step 3: Substitute \( x = -1 \) into \( y = 6x + 3 \)

Calculate \( 6\times(-1)+3=-6 + 3=-3 \)

Problem 3 Step 4: Substitute \( x = 1 \) into \( y = 6x + 3 \)

Calculate \( 6\times1+3=6 + 3=9 \)

Problem 3 Step 5: Substitute \( x = 7 \) into \( y = 6x + 3 \)

Calculate \( 6\times7+3=42 + 3=45 \)

Problem 4 Step 1: Substitute \( x = 3 \) into \( y = 7x - 8 \)

Calculate \( 7\times3-8=21 - 8=13 \)

Problem 4 Step 2: Substitute \( x = 9 \) into \( y = 7x - 8 \)

Calculate \( 7\times9-8=63 - 8=55 \)

Problem 4 Step 3: Substitute \( x = -3 \) into \( y = 7x - 8 \)

Calculate \( 7\times(-3)-8=-21 - 8=-29 \)

Problem 4 Step 4: Substitute \( x = 8 \) into \( y = 7x - 8 \)

Calculate \( 7\times8-8=56 - 8=48 \)

Problem [SSE Completed, Client Connection Error][SSE onError error]

Answer:

For problem 3 (equation \( y = 6x + 3 \)):

• When \( x = -7 \): \( y = 6\times(-7)+3=-42 + 3=-39 \)
• When \( x = -6 \): \( y = 6\times(-6)+3=-36 + 3=-33 \)
• When \( x = -1 \): \( y = 6\times(-1)+3=-6 + 3=-3 \)
• When \( x = 1 \): \( y = 6\times1+3=6 + 3=9 \)
• When \( x = 7 \): \( y = 6\times7+3=42 + 3=45 \)

For problem 4 (equation \( y = 7x - 8 \)):

• When \( x = 3 \): \( y = 7\times3-8=21 - 8=13 \)
• When \( x = 9 \): \( y = 7\times9-8=63 - 8=55 \)
• When \( x = -3 \): \( y = 7\times(-3)-8=-21 - 8=-29 \)
• When \( x = 8 \): \( y = 7\times8-8=56 - 8=48 \)
• When \( x = -9 \): \( y = 7\times(-9)-8=-63 - 8=-71 \)