Find the slope if it exist of the line containing the pair of points (6,5) and (8,-5) select the correct choice below and if necessary fill in the answer box to complete your choice . A: The slope M = blank. B: The slope is undefined so the answer will be -10 over 2?

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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.