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Sagot :
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
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]D=\sqrt{(3-3)^2+(-1-(-8))^2}[/tex]
[tex]D=\sqrt{(0)^2+(-1+8)^2}[/tex]
[tex]D=\sqrt{(7)^2}[/tex]
[tex]D=7[/tex]
Therefore, the given endpoints lies on the same vertical line and the length of the line segment is 7 units.
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