Question

Determine whether each given pair of end points lies on the same horizontal or vertical line. If so, find the length of the line segment that joins the pair of points. If not, explain how you know the points are not on the same horizontal or vertical line.
a. (0, −2) and (0, 9)
b. (11, 4) and (2, 11)
c. (3, −8) and (3, −1)
d. (−4, −4) and (5, −4)

Answer 1

Answer:

a. In the same vertical line and segment lenght is 12 units.

b. Those are not in the same horizontal or vertical line.

c. In the same vertical line and segment lenght is 7 units.

d. In the same horizontal line and the segment lenght is 9 units.

Step-by-step explanation:

A. the end points are (0,-2) and (0,9). If we represent this two end points on a coordinate axis we can see that these points are  in the same vertical line according to the y axis. And the lenght of the segment that joints the pair of points is 12 units lenght.

B. For subsection b the two given end points if we represent those on a coordinate axis we can say that thse two points are not in the same horizntal or verticall line each other. Because non of the numbers of each point match each other in the same axis.

C. The end points given are (3,-8) and (3,-1), and these points represented on a coordinate axis we can say that those are in the same vertical line. And the lenght of the segment each other is 7 units lenght.

D. The end points of subsection D are (-4,-4) and (5,-4) those points represented on a coordinate axis we can see that those are in the same horizontal line and the length of the segment is equal to 9 units.