Answer:
slope = [tex]\frac{3}{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]
let (x₁, y₁ ) = (- 5, - 4 ) and (x₂, y₂ ) = (2, - 1 )
substitute these values into the formula for m
m = [tex]\frac{-1-(-4)}{2-(-5)}[/tex] = [tex]\frac{-1+4}{2+5}[/tex] = [tex]\frac{3}{7}[/tex]