Question

Is PS a vertical line, a horizontal line, or neither? P (-1,0), S (-1,7)

Answer 1

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:

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

$m=\dfrac{7-0}{-1-(-1)}$

$m=\dfrac{7}{0}$

$m=\infty$

We know that the slope of a vertical line is $\infty$.

Since the slope of the line PS is $\infty$, therefore PS is a vertical line.