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

Explanation:

Step1: Calculate the slope

The slope $m$ of a linear - function is given by the formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points, say $(x_1,y_1)=(0, - 7)$ and $(x_2,y_2)=(1,-9)$. Then $m=\frac{-9-( - 7)}{1 - 0}=\frac{-9 + 7}{1}=-2$.

Step2: Find the y - intercept

The y - intercept $b$ is the value of $y$ when $x = 0$. From the table, when $x = 0$, $y=-7$, so $b=-7$.

Step3: Write the equation

The equation of a line in slope - intercept form is $y=mx + b$. Substituting $m=-2$ and $b = - 7$ into the equation, we get $y=-2x-7$.

Answer:

slope: $-2$ y - intercept: $-7$ equation: $y=-2x - 7$