Answer:
slope = - [tex]\frac{1}{6}[/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 ) = A(- 2, 6) and (x₂, y₂ ) = B(4, 5)
m = [tex]\frac{5-6}{4+2}[/tex] = [tex]\frac{-1}{6}[/tex] = - [tex]\frac{1}{6}[/tex]