Question

use the equation y- - 6 = x/4 to fill in the missing values int he table.

x | y
32 | 14
12 |
0 |
| 4
| -3

Answer 1

To fill in the missing values in the table using the equation \( y - 6 = \frac{x}{4} \), we can first rearrange this equation to solve for \( y \):

\[
y = \frac{x}{4} + 6
\]

Now, we can use this equation to calculate the missing values in the table for each given \( x \) value.

1. **When \( x = 32 \)**:
\[
y = \frac{32}{4} + 6 = 8 + 6 = 14
\]
(This is already filled in.)

2. **When \( x = 12 \)**:
\[
y = \frac{12}{4} + 6 = 3 + 6 = 9
\]

3. **When \( x = 0 \)**:
\[
y = \frac{0}{4} + 6 = 0 + 6 = 6
\]

4. **When \( y = 4 \)**:
We need to find \( x \).
\[
4 - 6 = \frac{x}{4}
\]
\[
-2 = \frac{x}{4}
\]
\[
x = -8
\]

5. **When \( y = -3 \)**:
Again, we need to find \( x \).
\[
-3 - 6 = \frac{x}{4}
\]
\[
-9 = \frac{x}{4}
\]
\[
x = -36
\]

Now, we can fill in the table with the calculated values:

\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
32 & 14 \\
12 & 9 \\
0 & 6 \\
-8 & 4 \\
-36 & -3 \\
\hline
\end{array}
\]