Question

assuming a linear relationship, find the missing value in the table below.

$x$	1	2	3	4	5
$y$	$-1$	5	11	17

answer attempt 1 out of 10

Explanation:

Step1: Find the common difference (slope)

To find the common difference (slope) between consecutive \( y \)-values, we subtract consecutive \( y \)-values. For example, \( 5 - (-1) = 6 \), \( 11 - 5 = 6 \), \( 17 - 11 = 6 \). So the common difference (slope) \( m = 6 \).

Step2: Calculate the missing \( y \)-value

To find the \( y \)-value when \( x = 5 \), we add the common difference to the previous \( y \)-value (when \( x = 4 \), \( y = 17 \)). So \( 17 + 6 = 23 \).

Answer:

23