The Solution:
Given the pairs of points below:
[tex](6,5)\text{ and (8,-5)}[/tex]We are required to find the slope of the line that passes through the above points.
By formula,
[tex]\text{ Slope =}\frac{y_2-y_1}{x_2-x_1}[/tex][tex]\begin{gathered} x_1=6 \\ y_1=5 \\ x_2=8 \\ y_2=-5 \end{gathered}[/tex]Substituting these values, we get
[tex]\text{ Slope =}\frac{-5-5}{8-6}=-\frac{10}{2}=-5[/tex]Therefore, the slope of the line is -5.