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Answer:

slope = - [tex]\frac{5}{4}[/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 ) = (1, 3) and (x₂, y₂ ) = (5, - 2)

m = [tex]\frac{-2-3}{5-1}[/tex] = - [tex]\frac{5}{4}[/tex]