Given:
The two points are P (-1,0) and S (-1,7).
To find:
Whether the line PS is vertical, horizontal or neither.
Solution:
We have, two points P (-1,0) and S (-1,7).
Slope of the line PS is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{7-0}{-1-(-1)}[/tex]
[tex]m=\dfrac{7}{0}[/tex]
[tex]m=\infty[/tex]
We know that the slope of a vertical line is [tex]\infty[/tex].
Since the slope of the line PS is [tex]\infty[/tex], therefore PS is a vertical line.