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Answer:

The slope between (8, 10) and (14, -5) will be:

  • [tex]m=-\frac{5}{2}[/tex]

Step-by-step explanation:

Given the points

  • (8, 10)
  • (14, -5)

Finding the slope between (8, 10) and (14, -5)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(8,\:10\right),\:\left(x_2,\:y_2\right)=\left(14,\:-5\right)[/tex]

[tex]m=\frac{-5-10}{14-8}[/tex]

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

Therefore, the slope between (8, 10) and (14, -5) will be:

  • [tex]m=-\frac{5}{2}[/tex]
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