Answer:
y = -x - 8
Step-by-step explanation:
First, calculate the slope:
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
(x₁, y₁) will be (8, -16)
(x₂, y₂) will be (6, -14)
Plug in values:
m = [tex]\frac{-14 - -16}{6-8}[/tex]
simplify:
m = [tex]\frac{2}{-2}[/tex]
m = -1
plug values into y = mx + b:
-16 = (-1)(8) + b
solve for b:
b - 8 = -16
b = -8
rewrite the equation:
y = -1x - 8
y = -x - 8
