Question

Complete table for y=1/3x+7
-6__
3__
6__
9__

Answer 1

To complete the table for the equation \( y = \frac{1}{3}x + 7 \), we'll substitute the given values of \( x \) into the equation and solve for \( y \).

1. For \( x = -6 \):
\[
y = \frac{1}{3}(-6) + 7 = -2 + 7 = 5
\]
Thus, when \( x = -6 \), \( y = 5 \).

2. For \( x = 3 \):
\[
y = \frac{1}{3}(3) + 7 = 1 + 7 = 8
\]
Thus, when \( x = 3 \), \( y = 8 \).

3. For \( x = 6 \):
\[
y = \frac{1}{3}(6) + 7 = 2 + 7 = 9
\]
Thus, when \( x = 6 \), \( y = 9 \).

4. For \( x = 9 \):
\[
y = \frac{1}{3}(9) + 7 = 3 + 7 = 10
\]
Thus, when \( x = 9 \), \( y = 10 \).

Now we can summarize the completed table:

| \( x \) | \( y \) |
|:---------:|:---------:|
| -6 | 5 |
| 3 | 8 |
| 6 | 9 |
| 9 | 10 |