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

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 $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points from the table, say $(x_1,y_1)=(0,3)$ and $(x_2,y_2)=(1,1)$. $m=\frac{1 - 3}{1-0}$

Step2: Calculate the slope

$m=\frac{1 - 3}{1-0}=\frac{-2}{1}=-2$

Step3: Recall y - intercept definition

The y - intercept is the value of y when $x = 0$. From the table, when $x = 0$, $y=3$.

Answer:

y - intercept: $3$ slope: $- 2$