Let's go through each problem step-by-step.

Problem 3: Use the equation to complete each table.

(a) $y = 4x + 7$

To complete the table, plug in each value of $x$ into the equation $y = 4x + 7$.

• For $x = 0$: $y = 4(0) + 7 = 7$
• For $x = 1$: $y = 4(1) + 7 = 11$
• For $x = 2$: $y = 4(2) + 7 = 15$
• For $x = 3$: $y = 4(3) + 7 = 19$
• For $x = 4$: $y = 4(4) + 7 = 23$
• For $x = 5$: $y = 4(5) + 7 = 27$

(b) $y = 25 - 6x$

Plug in each value of $x$.

• For $x = 0$: $y = 25 - 6(0) = 25$
• For $x = 1$: $y = 25 - 6(1) = 19$
• For $x = 2$: $y = 25 - 6(2) = 13$
• For $x = 3$: $y = 25 - 6(3) = 7$
• For $x = 4$: $y = 25 - 6(4) = 1$
• For $x = 5$: $y = 25 - 6(5) = -5$

(c) $y = 3 + 8x$

Plug in each value of $x$.

• For $x = 0$: $y = 3 + 8(0) = 3$
• For $x = 1$: $y = 3 + 8(1) = 11$
• For $x = 2$: $y = 3 + 8(2) = 19$
• For $x = 3$: $y = 3 + 8(3) = 27$
• For $x = 4$: $y = 3 + 8(4) = 35$
• For $x = 5$: $y = 3 + 8(5) = 43$

(d) $y = -2x + 9$

Plug in each value of $x$.

• For $x = 0$: $y = -2(0) + 9 = 9$
• For $x = 1$: $y = -2(1) + 9 = 7$
• For $x = 2$: $y = -2(2) + 9 = 5$
• For $x = 3$: $y = -2(3) + 9 = 3$
• For $x = 4$: $y = -2(4) + 9 = 1$
• For $x = 5$: $y = -2(5) + 9 = -1$

Problem 4: Complete each table, then write an equation.

(a)

Given $x$ and $y$: