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Answer:
slope = - [tex]\frac{4}{5}[/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, 0) and (x₂, y₂ ) = (0, - 4) ← 2 points on the line
m = [tex]\frac{-4-0}{0-(-5)}[/tex] = [tex]\frac{-4}{0+5}[/tex] = - [tex]\frac{4}{5}[/tex]