Answer:
slope = - [tex]\frac{5}{7}[/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 ) = (- 5, 1) and (x₂, y₂ ) = (2, - 4)
m = [tex]\frac{-4-1}{2-(-5)}[/tex] = [tex]\frac{-5}{2+5}[/tex] = [tex]\frac{-5}{7}[/tex] = - [tex]\frac{5}{7}[/tex]
