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

Explanation:

Step1: Calculate the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points, say $(x_1,y_1)=(-1,-5)$ and $(x_2,y_2)=(1,-3)$. Then $m=\frac{-3-(-5)}{1 - (-1)}=\frac{-3 + 5}{1+1}=\frac{2}{2}=1$.

Step2: Find the y - intercept

Use the slope - intercept form $y=mx + b$ and substitute $m = 1$, and a point $(x,y)=(1,-3)$. So, $-3=1\times1 + b$. Solving for $b$ gives $b=-3 - 1=-4$.

Step3: Write the equation

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

Answer:

$y=x - 4$