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