Answer:
slope = - [tex]\frac{1}{4}[/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, - 5) and (x₂, y₂ ) = (7, - 6)
m = [tex]\frac{-6-(-5)}{7-3}[/tex] = [tex]\frac{-6+5}{4}[/tex] = - [tex]\frac{1}{4}[/tex]