question\nfind the equation of the linear function represented by the table below in slope - intercept…

Explanation:

Step1: Calculate the slope

The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=( - 3,-13)$ and $(x_2,y_2)=(1,3)$. Then $m=\frac{3-(-13)}{1 - (-3)}=\frac{3 + 13}{1+3}=\frac{16}{4}=4$.

Step2: Find the y - intercept

Use the slope - intercept form $y=mx + b$ and substitute $m = 4$, $x = 1$, $y = 3$. We get $3=4\times1 + b$. Solving for $b$: $b=3 - 4=-1$.

Step3: Write the equation

The slope - intercept form of the line is $y=mx + b$. Substituting $m = 4$ and $b=-1$, we have $y = 4x-1$.

Answer:

$y = 4x-1$