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

Answer 1

Given two points (a,b) and (c,d), the slope of the line that passes through both is given by the quotient between the difference of their y-values and the difference of their x-values:

$m=\frac{d-b}{c-a}$

Then for the points (6,5) and (8,-5) we get:

$m=\frac{-5-5}{8-6}=-\frac{10}{2}=-5$

Then the answer is option A and the slope is m=-5.