Fill in the missing number to complete the linear equation that gives the rule for this table.

Question

x y
4 35
5 36
6 37
7 38

y = x +

Answer 1

To determine the missing number in the equation \( y = x + b \), we can use one of the points from the table. Let's take the first point \( (4, 35) \):

1. Plug in \( x = 4 \) and \( y = 35 \) into the equation: \[ 35 = 4 + b \]

2. To find \( b \), subtract 4 from both sides: \[ b = 35 - 4 = 31 \]

Thus, the linear equation that corresponds to the table is: \[ y = x + 31 \]