Question

Determine whether each given pair of endpoints lies on the same horizontal or vertical line.

Answer 1

Given:

The pair of end points: (3,-8) and (3,-1).

To find:

Whether the given pair of endpoints lies on the same horizontal or vertical line.

Solution:

If the x-coordinates of pair of endpoints are same, then the pair of endpoints lies on the same vertical.

If the y-coordinates of pair of endpoints are same, then the pair of endpoints lies on the same horizontal.

The given endpoints are (3,-8) and (3,-1).

From the given endpoints, it is clear that the x-coordinates of the endpoints are same. So, the given endpoints lies on the same vertical line.

The length of the line segment that joins the pair of points is

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$D=\sqrt{(3-3)^2+(-1-(-8))^2}$

$D=\sqrt{(0)^2+(-1+8)^2}$

$D=\sqrt{(7)^2}$

$D=7$

Therefore, the given endpoints lies on the same vertical line and the length of the line segment is 7 units.