To determine the linear equation based on the provided table, we need to find a relationship between \( x \) and \( y \).
From the table:
- When \( x = 3 \), \( y = 1 \)
- When \( x = 4 \), \( y = 2 \)
- When \( x = 5 \), \( y = 3 \)
- When \( x = 6 \), \( y = 4 \)
We can observe that as \( x \) increases by 1, \( y \) increases by 1. This suggests a linear relationship.
We can generalize this relationship:
- When \( x = 3 \), \( y = 1 \) can be rewritten as \( 1 = 3 - 2 \).
- When \( x = 4 \), \( y = 2 \) can be rewritten as \( 2 = 4 - 2 \).
- When \( x = 5 \), \( y = 3 \) can be rewritten as \( 3 = 5 - 2 \).
- When \( x = 6 \), \( y = 4 \) can be rewritten as \( 4 = 6 - 2 \).
From this, we can derive the general rule:
\[ y = x - 2 \]
Thus, the missing numbers in the linear equation are:
\[ y = x - 2 \]