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

Explanation:

Step1: Calculate the slope

The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points $(x_1,y_1)=(0,6)$ and $(x_2,y_2)=(1,4)$. Then $m=\frac{4 - 6}{1-0}=\frac{-2}{1}=- 2$.

Step2: Find the y - intercept

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

Step3: Write the equation

The slope - intercept form of a linear equation is $y=mx + b$. Substituting $m=-2$ and $b = 6$ into the equation, we get $y=-2x + 6$.

Answer:

Slope: $-2$ y - intercept: $6$ Equation: $y=-2x + 6$