Answer:
slope = [tex]\frac{1}{3}[/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 ) = (- 4, 1 ) and (x₂, y₂ ) = (5, 4 )
m = [tex]\frac{4-1}{5-(-4)}[/tex] = [tex]\frac{3}{5+4}[/tex] = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex]