a line passes through the points in this table.\n| x | y |\n|----|----|\n| 25 | 38 |\n| 29 | 26 |\n| 33 | 14…

Explanation:

Step1: Recall slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take the first two - points $(x_1,y_1)=(25,38)$ and $(x_2,y_2)=(29,26)$.

Step2: Substitute values into formula

$m=\frac{26 - 38}{29 - 25}=\frac{- 12}{4}$.

Step3: Simplify the fraction

$\frac{-12}{4}=- 3$.

Answer:

$-3$