find the equation of the linear function represented by the table below in slope - intercept form.\nanswer…

Explanation:

Step1: Calculate the slope

The slope $m$ of a line is given by the formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points, say $(x_1,y_1)=(0,8)$ and $(x_2,y_2)=(1,16)$. Then $m=\frac{16 - 8}{1-0}=\frac{8}{1}=8$.

Step2: Determine the y - intercept

The slope - intercept form of a line is $y = mx + b$, where $b$ is the y - intercept. When $x = 0$, $y=b$. From the table, when $x = 0$, $y = 8$, so $b = 8$.

Step3: Write the equation

Substitute $m = 8$ and $b = 8$ into $y=mx + b$. We get $y=8x + 8$.

Answer:

$y = 8x+8$