Answer:
slope = - [tex]\frac{6}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 8) and (x₂, y₂ ) = (- 9, 3)
m = [tex]\frac{3-8}{-9+3}[/tex] = [tex]\frac{-5}{-6}[/tex] = [tex]\frac{5}{6}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{6} }[/tex] = - [tex]\frac{6}{5}[/tex]
