complete the point - slope equation of the line through (8, - 8) and (9, 8). use exact numbers. y - 8 =

Explanation:

Step1: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Given the points $(x_1,y_1)=(8, - 8)$ and $(x_2,y_2)=(9,8)$, then $m=\frac{8-(-8)}{9 - 8}=\frac{8 + 8}{1}=16$.

Step2: Use the point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$. Using the point $(8,-8)$ and $m = 16$, we get $y-(-8)=16(x - 8)$.

Step3: Simplify the equation

$y + 8=16(x - 8)$.

Answer:

$y + 8=16(x - 8)$