a table of values of a linear function is shown below.\nfind the slope and y - intercept of the functions…

Explanation:

Step1: Recall slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points from the table, say $(x_1,y_1)=(0,6)$ and $(x_2,y_2)=(2,1)$. $m=\frac{1 - 6}{2 - 0}$

Step2: Calculate the slope

$m=\frac{1 - 6}{2 - 0}=\frac{-5}{2}=-\frac{5}{2}$

Step3: Identify the y - intercept

The y - intercept is the value of y when x = 0. From the table, when x = 0, y = 6.

Answer:

slope: $-\frac{5}{2}$ y - intercept: 6