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.

Step-by-step explanation

slope of line is given by

`m=(y_2-y_1)/(x_2-x_1)`

so ,

`\begin{gathered} m=(-10-(-8))/(8-8) \\ \\ m=(-10+8)/(0) \\ \\ m=-(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.