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

Explanation:

Step1: Calculate the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Using two - points, say $(0,-8)$ and $(1,-11)$. Then $m=\frac{-11-(-8)}{1 - 0}=\frac{-11 + 8}{1}=-3$.

Step2: Identify the y - intercept

The y - intercept is the value of y when $x = 0$. From the table, when $x = 0$, $y=-8$. So the y - intercept $b=-8$.

Step3: Write the equation

The slope - intercept form of a line is $y=mx + b$. Substituting $m=-3$ and $b = - 8$, we get $y=-3x-8$.

Answer:

Slope: $-3$ y - intercept: $-8$ Equation: $y=-3x - 8$