Question

(a) Find the slope of the line through the pair of points, (8, -8) and (8, -10), if possible.(b) Based on the slope from part (a), indicate whether the line through the points rises from left to right, falls from left to right, is horizontal, or is vertical.

Answer 1

Given

points, (8, -8) and (8, -10)

Find

slope and indicate whether the line through the points rises from left to right, falls from left to right, is horizontal, or is vertical.

Explanation

slope of line is given by

$m=\frac{y_2-y_1}{x_2-x_1}$

so ,

$\begin{gathered} m=\frac{-10-(-8)}{8-8} \\ \\ m=\frac{-10+8}{0} \\ \\ m=-\frac{2}{0} \end{gathered}$

as denominator is 0 so , the slope is undefined.

from slope we can say that the line is vertical.

Final Answer

Hence , the slope is undefined and the line is vertical.