Question

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?

Answer 1

The Solution:

Given the pairs of points below:

`(6,5)\text{ and (8,-5)}`

We are required to find the slope of the line that passes through the above points.

By formula,

`\text{ Slope =}(y_2-y_1)/(x_2-x_1)`
`\begin{gathered} x_1=6 \\ y_1=5 \\ x_2=8 \\ y_2=-5 \end{gathered}`

Substituting these values, we get

`\text{ Slope =}(-5-5)/(8-6)=-(10)/(2)=-5`

Therefore, the slope of the line is -5.