write the equation of the line that passes through the points (-8,8) and (8,0). put your answer in fully…

Explanation:

Step1: Calculate the slope

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $(x_1,y_1)=(-8,8)$ and $(x_2,y_2)=(8,0)$. So, $m=\frac{0 - 8}{8-(-8)}=\frac{-8}{16}=-\frac{1}{2}$.

Step2: Use the point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$. We can use the point $(8,0)$ (we could also use the other point). Substituting $m =-\frac{1}{2}$, $x_1 = 8$ and $y_1=0$ into the point - slope form, we get $y-0=-\frac{1}{2}(x - 8)$.

Answer:

$y=-\frac{1}{2}(x - 8)$