a line passes through the points in this table.\n| x | y |\n| -8 | 20 |\n| 8 | 14 |\n| 16 | 11 |\n| 56 | -4…

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 $(-8,20)$ and $(8,14)$.

Step2: Substitute values into formula

Here, $x_1=-8,y_1 = 20,x_2 = 8,y_2=14$. Then $m=\frac{14 - 20}{8-(-8)}$.

Step3: Simplify the expression

First, calculate the numerator: $14 - 20=-6$. Then calculate the denominator: $8-(-8)=8 + 8 = 16$. So, $m=\frac{-6}{16}=-\frac{3}{8}$.

Answer:

$-\frac{3}{8}$