Question

Two ordered pairs are connected to form a line segment. What is the length of each segment, and in which quadrant(s) is the segment found?

P = (-4, 1) and R = (-4, -3)
A) The length of the segment is 4 units, and it is found in the first quadrant.
B) The length of the segment is 4 units, and it is found in the third quadrant.
C) The length of the segment is 2 units, and it is found in the first and fourth quadrants.
D) The length of the segment is 2 units, and it is found in the second and third quadrants.

Answer 1

The length of the line segment PR is 4 units and it is found in the fourth quadrant.

Step-by-step explanation:

The length of the line segment PR can be found using the distance formula. The formula for finding the distance between two points (x1, y1) and (x2, y2) in a coordinate plane is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values for P = (-4, 1) and R = (-4, -3), we have:

d = √((-4 - -4)^2 + (-3 - 1)^2) = √(0^2 + (-4)^2) = √(0 + 16) = √16 = 4 units

Since both x-coordinates of the points are the same (-4), the line segment PR is vertical and lies in the fourth quadrant.