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The slope is 2.75 units
Explanation:Given the points (5, 6) and (1, -5), the slope is given by the formula:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ \text{where:} \\ x_1=5 \\ y_1=6 \\ x_2=1 \\ y_2-5 \end{gathered}[/tex]Using these, we have:
[tex]m=\frac{-5-6}{1-5}=\frac{-11}{-4}=\frac{11}{4}=2.75[/tex]